Greatest Common Factor of 3/56, 29/91, 85/424, 734/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/56, 29/91, 85/424, 734/864

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 3/56,29/91,85/424,734/864

Given fractions are 3/56,29/91,85/424,734/864

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 3,29,85,734

Greatest Common Factor of Numerators i.e. GCF of 3,29,85,734 is 1 .

LCM of Denominators means LCM of 56,91,424,864 as per the given fractions.

LCM of 56,91,424,864 is 4167072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,29,85,734

GCF of Fractions 3/56,29/91,85/424,734/864 is 1/4167072

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

Greatest Common Factor of 3,29,85,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,29,85,734 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 3,29,85,734 . The biggest common factor number is the GCF number.
So the greatest common factor 3,29,85,734 is 1.

Lets's calculate LCM of 56,91,424,864

2 56, 91, 424, 864
2 28, 91, 212, 432
2 14, 91, 106, 216
7 7, 91, 53, 108
1, 13, 53, 108

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 13 x 53 x 108 = 4167072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4167072

Therefore, the GCF of Fractions 3/56,29/91,85/424,734/864 is 1/4167072

Least Common Multiple of 56,91,424,864 with GCF Formula

Least Common Multiple of 56,91,424,864 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 56,91,424,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,91,424,864) = 1

common factors(in case of two or more numbers have common factors) = 448

GCF(56,91,424,864) x common factors =1 x 448 = 448

LCM(56,91,424,864) = ( 56 × 91 × 424 × 864 ) / 448

LCM(56,91,424,864) = 1866848256 / 448

LCM(56,91,424,864) = 4167072


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 3/56, 29/91, 85/424, 734/864

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 3/56, 29/91, 85/424, 734/864?

Answer: GCF of Numerators as per given numbers 3/56, 29/91, 85/424, 734/864 is

GCF of Numerators i.e. for 3,29,85,734 is 1

LCM of denominators i.e. for 56,91,424,864 is 4167072.

Thus, GCF of Fractions is 1/4167072.Finally, GCF of Fractions for 3/56, 29/91, 85/424, 734/864 is 1/4167072.