Greatest Common Factor of 856/787, 2978/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/787, 2978/677

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 856/787,2978/677

Given fractions are 856/787,2978/677

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 856,2978

Greatest Common Factor of Numerators i.e. GCF of 856,2978 is 2 .

LCM of Denominators means LCM of 787,677 as per the given fractions.

LCM of 787,677 is 532799 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,2978

GCF of Fractions 856/787,2978/677 is 2/532799

2 856, 2978
428, 1489

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

Greatest Common Factor of 856,2978 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,2978 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Greatest Common Factor

We found the factors 856,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 856,2978 is 2.

Lets's calculate LCM of 787,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 532799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532799

Therefore, the GCF of Fractions 856/787,2978/677 is 2/532799

Least Common Multiple of 787,677 with GCF Formula

Least Common Multiple of 787,677 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 787,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,677) = 1

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

GCF(787,677) x common factors =1 x 1 = 1

LCM(787,677) = ( 787 × 677 ) / 1

LCM(787,677) = 532799 / 1

LCM(787,677) = 532799


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 856/787, 2978/677

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 856/787, 2978/677?

Answer: GCF of Numerators as per given numbers 856/787, 2978/677 is

GCF of Numerators i.e. for 856,2978 is 2

LCM of denominators i.e. for 787,677 is 532799.

Thus, GCF of Fractions is 2/532799.Finally, GCF of Fractions for 856/787, 2978/677 is 2/532799.