Greatest Common Factor of 2546/688, 6473/4971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2546/688, 6473/4971

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 2546/688,6473/4971

Given fractions are 2546/688,6473/4971

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 2546,6473

Greatest Common Factor of Numerators i.e. GCF of 2546,6473 is 1 .

LCM of Denominators means LCM of 688,4971 as per the given fractions.

LCM of 688,4971 is 3420048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2546,6473

GCF of Fractions 2546/688,6473/4971 is 1/3420048

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2546,6473 By Matching Biggest Common Factor Method

Greatest Common Factor of 2546,6473 By Matching Biggest Common Factor Method

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Factors of 6473

List of positive integer factors of 6473 that divides 6473 without a remainder.

1,6473

Greatest Common Factor

We found the factors 2546,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 2546,6473 is 1.

Lets's calculate LCM of 688,4971

Given numbers has no common factors except 1. So, there LCM is their product i.e 3420048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3420048

Therefore, the GCF of Fractions 2546/688,6473/4971 is 1/3420048

Least Common Multiple of 688,4971 with GCF Formula

Least Common Multiple of 688,4971 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 688,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,4971) = 1

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

GCF(688,4971) x common factors =1 x 1 = 1

LCM(688,4971) = ( 688 × 4971 ) / 1

LCM(688,4971) = 3420048 / 1

LCM(688,4971) = 3420048


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 2546/688, 6473/4971

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 2546/688, 6473/4971?

Answer: GCF of Numerators as per given numbers 2546/688, 6473/4971 is

GCF of Numerators i.e. for 2546,6473 is 1

LCM of denominators i.e. for 688,4971 is 3420048.

Thus, GCF of Fractions is 1/3420048.Finally, GCF of Fractions for 2546/688, 6473/4971 is 1/3420048.