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GCF of 9792/839, 9120/1277

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 9792/839, 9120/1277 i.e 96/1071403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9792/839, 9120/1277.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9792/839,9120/1277?

Given fractions are 9792/839,9120/1277

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9792/839,9120/1277, numerators are 9792,9120

Denominators are 839,1277

The GCF of 9792,9120 is 96 .

LCM of 839,1277 is 1071403.

The greatest common factor of 9792/839,9120/1277 = [GCF of 9792,9120]/[LCM of 839,1277]= 96/1071403

Therefore, the GCF of 9792/839,9120/1277 is 96/1071403.

Greatest Common Factor of 9792,9120

To find the highest common factor of 9792,9120, we have to find the factors of both numbers and list the highest common factor.

The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792

The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120

The HCF of 9792,9120 is 96.

Lets's calculate GCF of 9792,9120

Greatest Common Factor (GCF) of 9792,9120 By Common Division

2 9792, 9120
2 4896, 4560
2 2448, 2280
2 1224, 1140
2 612, 570
3 306, 285
102, 95

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96

Greatest Common Factor of 9792,9120 By Matching Biggest Common Factor Method

Greatest Common Factor of 9792,9120 By Matching Biggest Common Factor Method

Now, list down the factors of 9792

:

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Now, list down the factors of 9120

:

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Greatest Common Factor

We found the factors 9792,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 9792,9120 is 96.


Lets's calculate LCM of 839,1277

Lowest Common Multiple of 839,1277 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1071403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/1071403

Therefore, the GCF of Fractions 9792/839,9120/1277 is 96/1071403

Least Common Multiple of 839,1277 with GCF Formula

Least Common Multiple of 839,1277 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 839,1277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,1277) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(839,1277) x common factors =1 x 1 = 1

LCM(839,1277) = ( 839 × 1277 ) / 1

LCM(839,1277) = 1071403 / 1

LCM(839,1277) = 1071403


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9792/839, 9120/1277

1. What is the HCF of 9792,9120?

The HCF of 9792,9120 is 96

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9792/839, 9120/1277?

Answer: GCF of Numerators as per given numbers 9792/839, 9120/1277 is

GCF of Numerators i.e. for 9792,9120 is 96

LCM of denominators i.e. for 839,1277 is 1071403.

Thus, GCF of Fractions is 96/1071403.Finally, GCF of Fractions for 9792/839, 9120/1277 is 96/1071403.