Greatest Common Factor of 6548/20, 1260/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6548/20, 1260/541

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 6548/20,1260/541

Given fractions are 6548/20,1260/541

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 6548,1260

Greatest Common Factor of Numerators i.e. GCF of 6548,1260 is 4 .

LCM of Denominators means LCM of 20,541 as per the given fractions.

LCM of 20,541 is 10820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6548,1260

GCF of Fractions 6548/20,1260/541 is 4/10820

2 6548, 1260
2 3274, 630
1637, 315

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6548,1260 By Matching Biggest Common Factor Method

Greatest Common Factor of 6548,1260 By Matching Biggest Common Factor Method

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1,2,4,1637,3274,6548

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Greatest Common Factor

We found the factors 6548,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 6548,1260 is 4.

Lets's calculate LCM of 20,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 10820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10820

Therefore, the GCF of Fractions 6548/20,1260/541 is 4/10820

Least Common Multiple of 20,541 with GCF Formula

Least Common Multiple of 20,541 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 20,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,541) = 1

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

GCF(20,541) x common factors =1 x 1 = 1

LCM(20,541) = ( 20 × 541 ) / 1

LCM(20,541) = 10820 / 1

LCM(20,541) = 10820


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 6548/20, 1260/541

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 6548/20, 1260/541?

Answer: GCF of Numerators as per given numbers 6548/20, 1260/541 is

GCF of Numerators i.e. for 6548,1260 is 4

LCM of denominators i.e. for 20,541 is 10820.

Thus, GCF of Fractions is 4/10820.Finally, GCF of Fractions for 6548/20, 1260/541 is 4/10820.