Greatest Common Factor of 8496/964, 5680/9624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8496/964, 5680/9624

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 8496/964,5680/9624

Given fractions are 8496/964,5680/9624

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8496,5680

Greatest Common Factor of Numerators i.e. GCF of 8496,5680 is 16 .

LCM of Denominators means LCM of 964,9624 as per the given fractions.

LCM of 964,9624 is 2319384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8496,5680

GCF of Fractions 8496/964,5680/9624 is 16/2319384

2 8496, 5680
2 4248, 2840
2 2124, 1420
2 1062, 710
531, 355

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 8496,5680 By Matching Biggest Common Factor Method

Greatest Common Factor of 8496,5680 By Matching Biggest Common Factor Method

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680

Greatest Common Factor

We found the factors 8496,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,5680 is 16.

Lets's calculate LCM of 964,9624

2 964, 9624
2 482, 4812
241, 2406

∴ So the LCM of the given numbers is 2 x 2 x 241 x 2406 = 2319384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2319384

Therefore, the GCF of Fractions 8496/964,5680/9624 is 16/2319384

Least Common Multiple of 964,9624 with GCF Formula

Least Common Multiple of 964,9624 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 964,9624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,9624) = 4

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

GCF(964,9624) x common factors =4 x 1 = 4

LCM(964,9624) = ( 964 × 9624 ) / 4

LCM(964,9624) = 9277536 / 4

LCM(964,9624) = 2319384


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8496/964, 5680/9624

1. 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.

2. What is the GCF of Fractions for 8496/964, 5680/9624?

Answer: GCF of Numerators as per given numbers 8496/964, 5680/9624 is

GCF of Numerators i.e. for 8496,5680 is 16

LCM of denominators i.e. for 964,9624 is 2319384.

Thus, GCF of Fractions is 16/2319384.Finally, GCF of Fractions for 8496/964, 5680/9624 is 16/2319384.