Greatest Common Factor of 1968/275, 2451/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1968/275, 2451/461

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 1968/275,2451/461

Given fractions are 1968/275,2451/461

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 1968,2451

Greatest Common Factor of Numerators i.e. GCF of 1968,2451 is 3 .

LCM of Denominators means LCM of 275,461 as per the given fractions.

LCM of 275,461 is 126775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1968,2451

GCF of Fractions 1968/275,2451/461 is 3/126775

3 1968, 2451
656, 817

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1968,2451 By Matching Biggest Common Factor Method

Greatest Common Factor of 1968,2451 By Matching Biggest Common Factor Method

Factors of 1968

List of positive integer factors of 1968 that divides 1968 without a remainder.

1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968

Factors of 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

Greatest Common Factor

We found the factors 1968,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 1968,2451 is 3.

Lets's calculate LCM of 275,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 126775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126775

Therefore, the GCF of Fractions 1968/275,2451/461 is 3/126775

Least Common Multiple of 275,461 with GCF Formula

Least Common Multiple of 275,461 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 275,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,461) = 1

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

GCF(275,461) x common factors =1 x 1 = 1

LCM(275,461) = ( 275 × 461 ) / 1

LCM(275,461) = 126775 / 1

LCM(275,461) = 126775


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 1968/275, 2451/461

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 1968/275, 2451/461?

Answer: GCF of Numerators as per given numbers 1968/275, 2451/461 is

GCF of Numerators i.e. for 1968,2451 is 3

LCM of denominators i.e. for 275,461 is 126775.

Thus, GCF of Fractions is 3/126775.Finally, GCF of Fractions for 1968/275, 2451/461 is 3/126775.