Greatest Common Factor of 811/630, 987/314, 527/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 811/630, 987/314, 527/315

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 811/630,987/314,527/315

Given fractions are 811/630,987/314,527/315

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 811,987,527

Greatest Common Factor of Numerators i.e. GCF of 811,987,527 is 1 .

LCM of Denominators means LCM of 630,314,315 as per the given fractions.

LCM of 630,314,315 is 98910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 811,987,527

GCF of Fractions 811/630,987/314,527/315 is 1/98910

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

Greatest Common Factor of 811,987,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,987,527 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 811,987,527 . The biggest common factor number is the GCF number.
So the greatest common factor 811,987,527 is 1.

Lets's calculate LCM of 630,314,315

2 630, 314, 315
3 315, 157, 315
3 105, 157, 105
5 35, 157, 35
7 7, 157, 7
1, 157, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 157 x 1 = 98910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98910

Therefore, the GCF of Fractions 811/630,987/314,527/315 is 1/98910

Least Common Multiple of 630,314,315 with GCF Formula

Least Common Multiple of 630,314,315 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 630,314,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,314,315) = 1

common factors(in case of two or more numbers have common factors) = 630

GCF(630,314,315) x common factors =1 x 630 = 630

LCM(630,314,315) = ( 630 × 314 × 315 ) / 630

LCM(630,314,315) = 62313300 / 630

LCM(630,314,315) = 98910


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 811/630, 987/314, 527/315

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 811/630, 987/314, 527/315?

Answer: GCF of Numerators as per given numbers 811/630, 987/314, 527/315 is

GCF of Numerators i.e. for 811,987,527 is 1

LCM of denominators i.e. for 630,314,315 is 98910.

Thus, GCF of Fractions is 1/98910.Finally, GCF of Fractions for 811/630, 987/314, 527/315 is 1/98910.