Greatest Common Factor of 424/3171, 651/7316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/3171, 651/7316

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 424/3171,651/7316

Given fractions are 424/3171,651/7316

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 424,651

Greatest Common Factor of Numerators i.e. GCF of 424,651 is 1 .

LCM of Denominators means LCM of 3171,7316 as per the given fractions.

LCM of 3171,7316 is 23199036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,651

GCF of Fractions 424/3171,651/7316 is 1/23199036

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

Greatest Common Factor of 424,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,651 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 424,651 . The biggest common factor number is the GCF number.
So the greatest common factor 424,651 is 1.

Lets's calculate LCM of 3171,7316

Given numbers has no common factors except 1. So, there LCM is their product i.e 23199036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23199036

Therefore, the GCF of Fractions 424/3171,651/7316 is 1/23199036

Least Common Multiple of 3171,7316 with GCF Formula

Least Common Multiple of 3171,7316 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 3171,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3171,7316) = 1

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

GCF(3171,7316) x common factors =1 x 1 = 1

LCM(3171,7316) = ( 3171 × 7316 ) / 1

LCM(3171,7316) = 23199036 / 1

LCM(3171,7316) = 23199036


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 424/3171, 651/7316

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 424/3171, 651/7316?

Answer: GCF of Numerators as per given numbers 424/3171, 651/7316 is

GCF of Numerators i.e. for 424,651 is 1

LCM of denominators i.e. for 3171,7316 is 23199036.

Thus, GCF of Fractions is 1/23199036.Finally, GCF of Fractions for 424/3171, 651/7316 is 1/23199036.