Greatest Common Factor of 7784/64, 5878/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7784/64, 5878/896

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 7784/64,5878/896

Given fractions are 7784/64,5878/896

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 7784,5878

Greatest Common Factor of Numerators i.e. GCF of 7784,5878 is 2 .

LCM of Denominators means LCM of 64,896 as per the given fractions.

LCM of 64,896 is 896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7784,5878

GCF of Fractions 7784/64,5878/896 is 2/896

2 7784, 5878
3892, 2939

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

Greatest Common Factor of 7784,5878 By Matching Biggest Common Factor Method

Greatest Common Factor of 7784,5878 By Matching Biggest Common Factor Method

Factors of 7784

List of positive integer factors of 7784 that divides 7784 without a remainder.

1,2,4,7,8,14,28,56,139,278,556,973,1112,1946,3892,7784

Factors of 5878

List of positive integer factors of 5878 that divides 5878 without a remainder.

1,2,2939,5878

Greatest Common Factor

We found the factors 7784,5878 . The biggest common factor number is the GCF number.
So the greatest common factor 7784,5878 is 2.

Lets's calculate LCM of 64,896

2 64, 896
2 32, 448
2 16, 224
2 8, 112
2 4, 56
2 2, 28
1, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 14 = 896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/896

Therefore, the GCF of Fractions 7784/64,5878/896 is 2/896

Least Common Multiple of 64,896 with GCF Formula

Least Common Multiple of 64,896 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 64,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,896) = 64

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

GCF(64,896) x common factors =64 x 1 = 64

LCM(64,896) = ( 64 × 896 ) / 64

LCM(64,896) = 57344 / 64

LCM(64,896) = 896


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 7784/64, 5878/896

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 7784/64, 5878/896?

Answer: GCF of Numerators as per given numbers 7784/64, 5878/896 is

GCF of Numerators i.e. for 7784,5878 is 2

LCM of denominators i.e. for 64,896 is 896.

Thus, GCF of Fractions is 2/896.Finally, GCF of Fractions for 7784/64, 5878/896 is 2/896.