Greatest Common Factor of 462/456, 2121/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 462/456, 2121/674

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 462/456,2121/674

Given fractions are 462/456,2121/674

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 462,2121

Greatest Common Factor of Numerators i.e. GCF of 462,2121 is 21 .

LCM of Denominators means LCM of 456,674 as per the given fractions.

LCM of 456,674 is 153672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 462,2121

GCF of Fractions 462/456,2121/674 is 21/153672

3 462, 2121
7 154, 707
22, 101

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 462,2121 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,2121 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 2121

List of positive integer factors of 2121 that divides 2121 without a remainder.

1,3,7,21,101,303,707,2121

Greatest Common Factor

We found the factors 462,2121 . The biggest common factor number is the GCF number.
So the greatest common factor 462,2121 is 21.

Lets's calculate LCM of 456,674

2 456, 674
228, 337

∴ So the LCM of the given numbers is 2 x 228 x 337 = 153672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/153672

Therefore, the GCF of Fractions 462/456,2121/674 is 21/153672

Least Common Multiple of 456,674 with GCF Formula

Least Common Multiple of 456,674 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 456,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,674) = 2

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

GCF(456,674) x common factors =2 x 1 = 2

LCM(456,674) = ( 456 × 674 ) / 2

LCM(456,674) = 307344 / 2

LCM(456,674) = 153672


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 462/456, 2121/674

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 462/456, 2121/674?

Answer: GCF of Numerators as per given numbers 462/456, 2121/674 is

GCF of Numerators i.e. for 462,2121 is 21

LCM of denominators i.e. for 456,674 is 153672.

Thus, GCF of Fractions is 21/153672.Finally, GCF of Fractions for 462/456, 2121/674 is 21/153672.