Greatest Common Factor of 627/863, 7431/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/863, 7431/701

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 627/863,7431/701

Given fractions are 627/863,7431/701

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 627,7431

Greatest Common Factor of Numerators i.e. GCF of 627,7431 is 3 .

LCM of Denominators means LCM of 863,701 as per the given fractions.

LCM of 863,701 is 604963 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,7431

GCF of Fractions 627/863,7431/701 is 3/604963

3 627, 7431
209, 2477

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 627,7431 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,7431 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Greatest Common Factor

We found the factors 627,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 627,7431 is 3.

Lets's calculate LCM of 863,701

Given numbers has no common factors except 1. So, there LCM is their product i.e 604963

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/604963

Therefore, the GCF of Fractions 627/863,7431/701 is 3/604963

Least Common Multiple of 863,701 with GCF Formula

Least Common Multiple of 863,701 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 863,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,701) = 1

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

GCF(863,701) x common factors =1 x 1 = 1

LCM(863,701) = ( 863 × 701 ) / 1

LCM(863,701) = 604963 / 1

LCM(863,701) = 604963


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 627/863, 7431/701

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 627/863, 7431/701?

Answer: GCF of Numerators as per given numbers 627/863, 7431/701 is

GCF of Numerators i.e. for 627,7431 is 3

LCM of denominators i.e. for 863,701 is 604963.

Thus, GCF of Fractions is 3/604963.Finally, GCF of Fractions for 627/863, 7431/701 is 3/604963.