Greatest Common Factor of 8272/969, 9552/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8272/969, 9552/840

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 8272/969,9552/840

Given fractions are 8272/969,9552/840

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 8272,9552

Greatest Common Factor of Numerators i.e. GCF of 8272,9552 is 16 .

LCM of Denominators means LCM of 969,840 as per the given fractions.

LCM of 969,840 is 271320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8272,9552

GCF of Fractions 8272/969,9552/840 is 16/271320

2 8272, 9552
2 4136, 4776
2 2068, 2388
2 1034, 1194
517, 597

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

Greatest Common Factor of 8272,9552 By Matching Biggest Common Factor Method

Greatest Common Factor of 8272,9552 By Matching Biggest Common Factor Method

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552

Greatest Common Factor

We found the factors 8272,9552 . The biggest common factor number is the GCF number.
So the greatest common factor 8272,9552 is 16.

Lets's calculate LCM of 969,840

3 969, 840
323, 280

∴ So the LCM of the given numbers is 3 x 323 x 280 = 271320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/271320

Therefore, the GCF of Fractions 8272/969,9552/840 is 16/271320

Least Common Multiple of 969,840 with GCF Formula

Least Common Multiple of 969,840 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 969,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,840) = 3

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

GCF(969,840) x common factors =3 x 1 = 3

LCM(969,840) = ( 969 × 840 ) / 3

LCM(969,840) = 813960 / 3

LCM(969,840) = 271320


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 8272/969, 9552/840

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 8272/969, 9552/840?

Answer: GCF of Numerators as per given numbers 8272/969, 9552/840 is

GCF of Numerators i.e. for 8272,9552 is 16

LCM of denominators i.e. for 969,840 is 271320.

Thus, GCF of Fractions is 16/271320.Finally, GCF of Fractions for 8272/969, 9552/840 is 16/271320.