Greatest Common Factor of 62/40, 92/29, 49/94, 32/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/40, 92/29, 49/94, 32/812

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 62/40,92/29,49/94,32/812

Given fractions are 62/40,92/29,49/94,32/812

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 62,92,49,32

Greatest Common Factor of Numerators i.e. GCF of 62,92,49,32 is 1 .

LCM of Denominators means LCM of 40,29,94,812 as per the given fractions.

LCM of 40,29,94,812 is 381640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,92,49,32

GCF of Fractions 62/40,92/29,49/94,32/812 is 1/381640

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

Greatest Common Factor of 62,92,49,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,92,49,32 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 62,92,49,32 . The biggest common factor number is the GCF number.
So the greatest common factor 62,92,49,32 is 1.

Lets's calculate LCM of 40,29,94,812

2 40, 29, 94, 812
2 20, 29, 47, 406
29 10, 29, 47, 203
10, 1, 47, 7

∴ So the LCM of the given numbers is 2 x 2 x 29 x 10 x 1 x 47 x 7 = 381640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381640

Therefore, the GCF of Fractions 62/40,92/29,49/94,32/812 is 1/381640

Least Common Multiple of 40,29,94,812 with GCF Formula

Least Common Multiple of 40,29,94,812 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 40,29,94,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,29,94,812) = 1

common factors(in case of two or more numbers have common factors) = 232

GCF(40,29,94,812) x common factors =1 x 232 = 232

LCM(40,29,94,812) = ( 40 × 29 × 94 × 812 ) / 232

LCM(40,29,94,812) = 88540480 / 232

LCM(40,29,94,812) = 381640


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 62/40, 92/29, 49/94, 32/812

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 62/40, 92/29, 49/94, 32/812?

Answer: GCF of Numerators as per given numbers 62/40, 92/29, 49/94, 32/812 is

GCF of Numerators i.e. for 62,92,49,32 is 1

LCM of denominators i.e. for 40,29,94,812 is 381640.

Thus, GCF of Fractions is 1/381640.Finally, GCF of Fractions for 62/40, 92/29, 49/94, 32/812 is 1/381640.