Greatest Common Factor of 631/698, 149/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 631/698, 149/677

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 631/698,149/677

Given fractions are 631/698,149/677

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 631,149

Greatest Common Factor of Numerators i.e. GCF of 631,149 is 1 .

LCM of Denominators means LCM of 698,677 as per the given fractions.

LCM of 698,677 is 472546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 631,149

GCF of Fractions 631/698,149/677 is 1/472546

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

Greatest Common Factor of 631,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,149 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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 631,149 . The biggest common factor number is the GCF number.
So the greatest common factor 631,149 is 1.

Lets's calculate LCM of 698,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 472546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472546

Therefore, the GCF of Fractions 631/698,149/677 is 1/472546

Least Common Multiple of 698,677 with GCF Formula

Least Common Multiple of 698,677 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 698,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,677) = 1

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

GCF(698,677) x common factors =1 x 1 = 1

LCM(698,677) = ( 698 × 677 ) / 1

LCM(698,677) = 472546 / 1

LCM(698,677) = 472546


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 631/698, 149/677

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 631/698, 149/677?

Answer: GCF of Numerators as per given numbers 631/698, 149/677 is

GCF of Numerators i.e. for 631,149 is 1

LCM of denominators i.e. for 698,677 is 472546.

Thus, GCF of Fractions is 1/472546.Finally, GCF of Fractions for 631/698, 149/677 is 1/472546.