How to Find GCF of 9578/760, 7344/696?

GCF of 9578/760, 7344/696

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 9578/760, 7344/696 i.e 2/66120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9578/760, 7344/696.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9578/760,7344/696?

Given fractions are 9578/760,7344/696

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 9578/760,7344/696, numerators are 9578,7344

Denominators are 760,696

The GCF of 9578,7344 is 2 .

LCM of 760,696 is 66120.

The greatest common factor of 9578/760,7344/696 = [GCF of 9578,7344]/[LCM of 760,696]= 2/66120

Therefore, the GCF of 9578/760,7344/696 is 2/66120.

Greatest Common Factor of 9578,7344

To find the highest common factor of 9578,7344, we have to find the factors of both numbers and list the highest common factor.

The factors of 9578 are 1, 2, 4789, 9578

The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344

The HCF of 9578,7344 is 2.

Lets's calculate GCF of 9578,7344

Greatest Common Factor (GCF) of 9578,7344 By Common Division

2	9578, 7344
	4789, 3672

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9578,7344 By Matching Biggest Common Factor Method

Now, list down the factors of 9578

1,2,4789,9578

Now, list down the factors of 7344

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

Greatest Common Factor

We found the factors 9578,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 9578,7344 is 2.

Lets's calculate LCM of 760,696

Lowest Common Multiple of 760,696 using Common Division

2	760, 696
2	380, 348
2	190, 174
	95, 87

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 87 = 66120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66120

Therefore, the GCF of Fractions 9578/760,7344/696 is 2/66120

Least Common Multiple of 760,696 with GCF Formula

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

We need to calculate greatest common factor of 760,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,696) = 8

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

GCF(760,696) x common factors =8 x 1 = 8

LCM(760,696) = ( 760 × 696 ) / 8

LCM(760,696) = 528960 / 8

LCM(760,696) = 66120

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9578/760, 7344/696

1. What is the HCF of 9578,7344?

The HCF of 9578,7344 is 2

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 9578/760, 7344/696?

Answer: GCF of Numerators as per given numbers 9578/760, 7344/696 is

GCF of Numerators i.e. for 9578,7344 is 2

LCM of denominators i.e. for 760,696 is 66120.

Thus, GCF of Fractions is 2/66120.Finally, GCF of Fractions for 9578/760, 7344/696 is 2/66120.