Greatest Common Factor of 7/56, 31/17, 10/563, 409/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/56, 31/17, 10/563, 409/534

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 7/56,31/17,10/563,409/534

Given fractions are 7/56,31/17,10/563,409/534

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 7,31,10,409

Greatest Common Factor of Numerators i.e. GCF of 7,31,10,409 is 1 .

LCM of Denominators means LCM of 56,17,563,534 as per the given fractions.

LCM of 56,17,563,534 is 143105592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,31,10,409

GCF of Fractions 7/56,31/17,10/563,409/534 is 1/143105592

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

Greatest Common Factor of 7,31,10,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,31,10,409 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 7,31,10,409 . The biggest common factor number is the GCF number.
So the greatest common factor 7,31,10,409 is 1.

Lets's calculate LCM of 56,17,563,534

2 56, 17, 563, 534
28, 17, 563, 267

∴ So the LCM of the given numbers is 2 x 28 x 17 x 563 x 267 = 143105592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143105592

Therefore, the GCF of Fractions 7/56,31/17,10/563,409/534 is 1/143105592

Least Common Multiple of 56,17,563,534 with GCF Formula

Least Common Multiple of 56,17,563,534 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 56,17,563,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,17,563,534) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,17,563,534) x common factors =1 x 2 = 2

LCM(56,17,563,534) = ( 56 × 17 × 563 × 534 ) / 2

LCM(56,17,563,534) = 286211184 / 2

LCM(56,17,563,534) = 143105592


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 7/56, 31/17, 10/563, 409/534

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 7/56, 31/17, 10/563, 409/534?

Answer: GCF of Numerators as per given numbers 7/56, 31/17, 10/563, 409/534 is

GCF of Numerators i.e. for 7,31,10,409 is 1

LCM of denominators i.e. for 56,17,563,534 is 143105592.

Thus, GCF of Fractions is 1/143105592.Finally, GCF of Fractions for 7/56, 31/17, 10/563, 409/534 is 1/143105592.