Greatest Common Factor of 777/751, 5600/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/751, 5600/410

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 777/751,5600/410

Given fractions are 777/751,5600/410

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 777,5600

Greatest Common Factor of Numerators i.e. GCF of 777,5600 is 7 .

LCM of Denominators means LCM of 751,410 as per the given fractions.

LCM of 751,410 is 307910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,5600

GCF of Fractions 777/751,5600/410 is 7/307910

7 777, 5600
111, 800

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 777,5600 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,5600 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Greatest Common Factor

We found the factors 777,5600 . The biggest common factor number is the GCF number.
So the greatest common factor 777,5600 is 7.

Lets's calculate LCM of 751,410

Given numbers has no common factors except 1. So, there LCM is their product i.e 307910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/307910

Therefore, the GCF of Fractions 777/751,5600/410 is 7/307910

Least Common Multiple of 751,410 with GCF Formula

Least Common Multiple of 751,410 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 751,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,410) = 1

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

GCF(751,410) x common factors =1 x 1 = 1

LCM(751,410) = ( 751 × 410 ) / 1

LCM(751,410) = 307910 / 1

LCM(751,410) = 307910


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 777/751, 5600/410

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 777/751, 5600/410?

Answer: GCF of Numerators as per given numbers 777/751, 5600/410 is

GCF of Numerators i.e. for 777,5600 is 7

LCM of denominators i.e. for 751,410 is 307910.

Thus, GCF of Fractions is 7/307910.Finally, GCF of Fractions for 777/751, 5600/410 is 7/307910.