Greatest Common Factor of 531/400, 1349/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/400, 1349/216

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 531/400,1349/216

Given fractions are 531/400,1349/216

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 531,1349

Greatest Common Factor of Numerators i.e. GCF of 531,1349 is 1 .

LCM of Denominators means LCM of 400,216 as per the given fractions.

LCM of 400,216 is 10800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,1349

GCF of Fractions 531/400,1349/216 is 1/10800

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

Greatest Common Factor of 531,1349 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,1349 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 1349

List of positive integer factors of 1349 that divides 1349 without a remainder.

1,19,71,1349

Greatest Common Factor

We found the factors 531,1349 . The biggest common factor number is the GCF number.
So the greatest common factor 531,1349 is 1.

Lets's calculate LCM of 400,216

2 400, 216
2 200, 108
2 100, 54
50, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 27 = 10800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10800

Therefore, the GCF of Fractions 531/400,1349/216 is 1/10800

Least Common Multiple of 400,216 with GCF Formula

Least Common Multiple of 400,216 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 400,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,216) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(400,216) x common factors =8 x 1 = 8

LCM(400,216) = ( 400 × 216 ) / 8

LCM(400,216) = 86400 / 8

LCM(400,216) = 10800


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 531/400, 1349/216

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 531/400, 1349/216?

Answer: GCF of Numerators as per given numbers 531/400, 1349/216 is

GCF of Numerators i.e. for 531,1349 is 1

LCM of denominators i.e. for 400,216 is 10800.

Thus, GCF of Fractions is 1/10800.Finally, GCF of Fractions for 531/400, 1349/216 is 1/10800.