Greatest Common Factor of 631/784, 913/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/784, 913/996

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 631/784,913/996

Given fractions are 631/784,913/996

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 631,913

Greatest Common Factor of Numerators i.e. GCF of 631,913 is 1 .

LCM of Denominators means LCM of 784,996 as per the given fractions.

LCM of 784,996 is 195216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,913

GCF of Fractions 631/784,913/996 is 1/195216

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

Greatest Common Factor of 631,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,913 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 631,913 . The biggest common factor number is the GCF number.
So the greatest common factor 631,913 is 1.

Lets's calculate LCM of 784,996

2 784, 996
2 392, 498
196, 249

∴ So the LCM of the given numbers is 2 x 2 x 196 x 249 = 195216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195216

Therefore, the GCF of Fractions 631/784,913/996 is 1/195216

Least Common Multiple of 784,996 with GCF Formula

Least Common Multiple of 784,996 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 784,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,996) = 4

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

GCF(784,996) x common factors =4 x 1 = 4

LCM(784,996) = ( 784 × 996 ) / 4

LCM(784,996) = 780864 / 4

LCM(784,996) = 195216


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 631/784, 913/996

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 631/784, 913/996?

Answer: GCF of Numerators as per given numbers 631/784, 913/996 is

GCF of Numerators i.e. for 631,913 is 1

LCM of denominators i.e. for 784,996 is 195216.

Thus, GCF of Fractions is 1/195216.Finally, GCF of Fractions for 631/784, 913/996 is 1/195216.