Greatest Common Factor of 6964/567, 7968/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6964/567, 7968/449

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 6964/567,7968/449

Given fractions are 6964/567,7968/449

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 6964,7968

Greatest Common Factor of Numerators i.e. GCF of 6964,7968 is 4 .

LCM of Denominators means LCM of 567,449 as per the given fractions.

LCM of 567,449 is 254583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6964,7968

GCF of Fractions 6964/567,7968/449 is 4/254583

2 6964, 7968
2 3482, 3984
1741, 1992

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6964,7968 By Matching Biggest Common Factor Method

Greatest Common Factor of 6964,7968 By Matching Biggest Common Factor Method

Factors of 6964

List of positive integer factors of 6964 that divides 6964 without a remainder.

1,2,4,1741,3482,6964

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Greatest Common Factor

We found the factors 6964,7968 . The biggest common factor number is the GCF number.
So the greatest common factor 6964,7968 is 4.

Lets's calculate LCM of 567,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 254583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/254583

Therefore, the GCF of Fractions 6964/567,7968/449 is 4/254583

Least Common Multiple of 567,449 with GCF Formula

Least Common Multiple of 567,449 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 567,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,449) = 1

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

GCF(567,449) x common factors =1 x 1 = 1

LCM(567,449) = ( 567 × 449 ) / 1

LCM(567,449) = 254583 / 1

LCM(567,449) = 254583


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 6964/567, 7968/449

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 6964/567, 7968/449?

Answer: GCF of Numerators as per given numbers 6964/567, 7968/449 is

GCF of Numerators i.e. for 6964,7968 is 4

LCM of denominators i.e. for 567,449 is 254583.

Thus, GCF of Fractions is 4/254583.Finally, GCF of Fractions for 6964/567, 7968/449 is 4/254583.