Greatest Common Factor of 6450/778, 5320/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6450/778, 5320/351

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 6450/778,5320/351

Given fractions are 6450/778,5320/351

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 6450,5320

Greatest Common Factor of Numerators i.e. GCF of 6450,5320 is 10 .

LCM of Denominators means LCM of 778,351 as per the given fractions.

LCM of 778,351 is 273078 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6450,5320

GCF of Fractions 6450/778,5320/351 is 10/273078

2 6450, 5320
5 3225, 2660
645, 532

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6450,5320 By Matching Biggest Common Factor Method

Greatest Common Factor of 6450,5320 By Matching Biggest Common Factor Method

Factors of 6450

List of positive integer factors of 6450 that divides 6450 without a remainder.

1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors 6450,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 6450,5320 is 10.

Lets's calculate LCM of 778,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 273078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/273078

Therefore, the GCF of Fractions 6450/778,5320/351 is 10/273078

Least Common Multiple of 778,351 with GCF Formula

Least Common Multiple of 778,351 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 778,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,351) = 1

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

GCF(778,351) x common factors =1 x 1 = 1

LCM(778,351) = ( 778 × 351 ) / 1

LCM(778,351) = 273078 / 1

LCM(778,351) = 273078


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 6450/778, 5320/351

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 6450/778, 5320/351?

Answer: GCF of Numerators as per given numbers 6450/778, 5320/351 is

GCF of Numerators i.e. for 6450,5320 is 10

LCM of denominators i.e. for 778,351 is 273078.

Thus, GCF of Fractions is 10/273078.Finally, GCF of Fractions for 6450/778, 5320/351 is 10/273078.