Greatest Common Factor of 7/31, 92/77, 42/324, 416/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/31, 92/77, 42/324, 416/592

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 7/31,92/77,42/324,416/592

Given fractions are 7/31,92/77,42/324,416/592

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 7,92,42,416

Greatest Common Factor of Numerators i.e. GCF of 7,92,42,416 is 1 .

LCM of Denominators means LCM of 31,77,324,592 as per the given fractions.

LCM of 31,77,324,592 is 114461424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,92,42,416

GCF of Fractions 7/31,92/77,42/324,416/592 is 1/114461424

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

Greatest Common Factor of 7,92,42,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,92,42,416 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 92

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

1,2,4,23,46,92

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 7,92,42,416 . The biggest common factor number is the GCF number.
So the greatest common factor 7,92,42,416 is 1.

Lets's calculate LCM of 31,77,324,592

2 31, 77, 324, 592
2 31, 77, 162, 296
31, 77, 81, 148

∴ So the LCM of the given numbers is 2 x 2 x 31 x 77 x 81 x 148 = 114461424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114461424

Therefore, the GCF of Fractions 7/31,92/77,42/324,416/592 is 1/114461424

Least Common Multiple of 31,77,324,592 with GCF Formula

Least Common Multiple of 31,77,324,592 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 31,77,324,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,77,324,592) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,77,324,592) x common factors =1 x 4 = 4

LCM(31,77,324,592) = ( 31 × 77 × 324 × 592 ) / 4

LCM(31,77,324,592) = 457845696 / 4

LCM(31,77,324,592) = 114461424


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 7/31, 92/77, 42/324, 416/592

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 7/31, 92/77, 42/324, 416/592?

Answer: GCF of Numerators as per given numbers 7/31, 92/77, 42/324, 416/592 is

GCF of Numerators i.e. for 7,92,42,416 is 1

LCM of denominators i.e. for 31,77,324,592 is 114461424.

Thus, GCF of Fractions is 1/114461424.Finally, GCF of Fractions for 7/31, 92/77, 42/324, 416/592 is 1/114461424.