Greatest Common Factor of 70/810, 531/901, 387/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/810, 531/901, 387/362

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 70/810,531/901,387/362

Given fractions are 70/810,531/901,387/362

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 70,531,387

Greatest Common Factor of Numerators i.e. GCF of 70,531,387 is 1 .

LCM of Denominators means LCM of 810,901,362 as per the given fractions.

LCM of 810,901,362 is 132095610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,531,387

GCF of Fractions 70/810,531/901,387/362 is 1/132095610

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

Greatest Common Factor of 70,531,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,531,387 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 531

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

1,3,9,59,177,531

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 70,531,387 . The biggest common factor number is the GCF number.
So the greatest common factor 70,531,387 is 1.

Lets's calculate LCM of 810,901,362

2 810, 901, 362
405, 901, 181

∴ So the LCM of the given numbers is 2 x 405 x 901 x 181 = 132095610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132095610

Therefore, the GCF of Fractions 70/810,531/901,387/362 is 1/132095610

Least Common Multiple of 810,901,362 with GCF Formula

Least Common Multiple of 810,901,362 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 810,901,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,901,362) = 1

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

GCF(810,901,362) x common factors =1 x 2 = 2

LCM(810,901,362) = ( 810 × 901 × 362 ) / 2

LCM(810,901,362) = 264191220 / 2

LCM(810,901,362) = 132095610


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 70/810, 531/901, 387/362

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 70/810, 531/901, 387/362?

Answer: GCF of Numerators as per given numbers 70/810, 531/901, 387/362 is

GCF of Numerators i.e. for 70,531,387 is 1

LCM of denominators i.e. for 810,901,362 is 132095610.

Thus, GCF of Fractions is 1/132095610.Finally, GCF of Fractions for 70/810, 531/901, 387/362 is 1/132095610.