Greatest Common Factor of 462/32, 167/31, 451/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 462/32, 167/31, 451/840

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 462/32,167/31,451/840

Given fractions are 462/32,167/31,451/840

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 462,167,451

Greatest Common Factor of Numerators i.e. GCF of 462,167,451 is 1 .

LCM of Denominators means LCM of 32,31,840 as per the given fractions.

LCM of 32,31,840 is 104160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 462,167,451

GCF of Fractions 462/32,167/31,451/840 is 1/104160

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

Greatest Common Factor of 462,167,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,167,451 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 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 462,167,451 . The biggest common factor number is the GCF number.
So the greatest common factor 462,167,451 is 1.

Lets's calculate LCM of 32,31,840

2 32, 31, 840
2 16, 31, 420
2 8, 31, 210
4, 31, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 31 x 105 = 104160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104160

Therefore, the GCF of Fractions 462/32,167/31,451/840 is 1/104160

Least Common Multiple of 32,31,840 with GCF Formula

Least Common Multiple of 32,31,840 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 32,31,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,31,840) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,31,840) x common factors =1 x 8 = 8

LCM(32,31,840) = ( 32 × 31 × 840 ) / 8

LCM(32,31,840) = 833280 / 8

LCM(32,31,840) = 104160


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 462/32, 167/31, 451/840

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 462/32, 167/31, 451/840?

Answer: GCF of Numerators as per given numbers 462/32, 167/31, 451/840 is

GCF of Numerators i.e. for 462,167,451 is 1

LCM of denominators i.e. for 32,31,840 is 104160.

Thus, GCF of Fractions is 1/104160.Finally, GCF of Fractions for 462/32, 167/31, 451/840 is 1/104160.