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GCF of 9960/845, 2496/9235

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 9960/845, 2496/9235 i.e 24/1560715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9960/845, 2496/9235.

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 9960/845,2496/9235?

Given fractions are 9960/845,2496/9235

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 9960/845,2496/9235, numerators are 9960,2496

Denominators are 845,9235

The GCF of 9960,2496 is 24 .

LCM of 845,9235 is 1560715.

The greatest common factor of 9960/845,2496/9235 = [GCF of 9960,2496]/[LCM of 845,9235]= 24/1560715

Therefore, the GCF of 9960/845,2496/9235 is 24/1560715.

Greatest Common Factor of 9960,2496

To find the highest common factor of 9960,2496, we have to find the factors of both numbers and list the highest common factor.

The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960

The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496

The HCF of 9960,2496 is 24.

Lets's calculate GCF of 9960,2496

Greatest Common Factor (GCF) of 9960,2496 By Common Division

2 9960, 2496
2 4980, 1248
2 2490, 624
3 1245, 312
415, 104

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 9960,2496 By Matching Biggest Common Factor Method

Greatest Common Factor of 9960,2496 By Matching Biggest Common Factor Method

Now, list down the factors of 9960

:

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Now, list down the factors of 2496

:

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Greatest Common Factor

We found the factors 9960,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,2496 is 24.


Lets's calculate LCM of 845,9235

Lowest Common Multiple of 845,9235 using Common Division

5 845, 9235
169, 1847

∴ So the LCM of the given numbers is 5 x 169 x 1847 = 1560715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1560715

Therefore, the GCF of Fractions 9960/845,2496/9235 is 24/1560715

Least Common Multiple of 845,9235 with GCF Formula

Least Common Multiple of 845,9235 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 845,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(845,9235) = 5

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

GCF(845,9235) x common factors =5 x 1 = 5

LCM(845,9235) = ( 845 × 9235 ) / 5

LCM(845,9235) = 7803575 / 5

LCM(845,9235) = 1560715


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9960/845, 2496/9235

1. What is the HCF of 9960,2496?

The HCF of 9960,2496 is 24

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 9960/845, 2496/9235?

Answer: GCF of Numerators as per given numbers 9960/845, 2496/9235 is

GCF of Numerators i.e. for 9960,2496 is 24

LCM of denominators i.e. for 845,9235 is 1560715.

Thus, GCF of Fractions is 24/1560715.Finally, GCF of Fractions for 9960/845, 2496/9235 is 24/1560715.