Greatest Common Factor of 6780/526, 1534/7897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6780/526, 1534/7897

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 6780/526,1534/7897

Given fractions are 6780/526,1534/7897

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 6780,1534

Greatest Common Factor of Numerators i.e. GCF of 6780,1534 is 2 .

LCM of Denominators means LCM of 526,7897 as per the given fractions.

LCM of 526,7897 is 4153822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6780,1534

GCF of Fractions 6780/526,1534/7897 is 2/4153822

2 6780, 1534
3390, 767

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

Greatest Common Factor of 6780,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 6780,1534 By Matching Biggest Common Factor Method

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 6780,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 6780,1534 is 2.

Lets's calculate LCM of 526,7897

Given numbers has no common factors except 1. So, there LCM is their product i.e 4153822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4153822

Therefore, the GCF of Fractions 6780/526,1534/7897 is 2/4153822

Least Common Multiple of 526,7897 with GCF Formula

Least Common Multiple of 526,7897 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 526,7897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,7897) = 1

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

GCF(526,7897) x common factors =1 x 1 = 1

LCM(526,7897) = ( 526 × 7897 ) / 1

LCM(526,7897) = 4153822 / 1

LCM(526,7897) = 4153822


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 6780/526, 1534/7897

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 6780/526, 1534/7897?

Answer: GCF of Numerators as per given numbers 6780/526, 1534/7897 is

GCF of Numerators i.e. for 6780,1534 is 2

LCM of denominators i.e. for 526,7897 is 4153822.

Thus, GCF of Fractions is 2/4153822.Finally, GCF of Fractions for 6780/526, 1534/7897 is 2/4153822.