Greatest Common Factor of 37/343, 917/849, 707/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/343, 917/849, 707/631

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 37/343,917/849,707/631

Given fractions are 37/343,917/849,707/631

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 37,917,707

Greatest Common Factor of Numerators i.e. GCF of 37,917,707 is 1 .

LCM of Denominators means LCM of 343,849,631 as per the given fractions.

LCM of 343,849,631 is 183751617 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,917,707

GCF of Fractions 37/343,917/849,707/631 is 1/183751617

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

Greatest Common Factor of 37,917,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,917,707 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 37,917,707 . The biggest common factor number is the GCF number.
So the greatest common factor 37,917,707 is 1.

Lets's calculate LCM of 343,849,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 183751617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183751617

Therefore, the GCF of Fractions 37/343,917/849,707/631 is 1/183751617

Least Common Multiple of 343,849,631 with GCF Formula

Least Common Multiple of 343,849,631 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 343,849,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,849,631) = 1

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

GCF(343,849,631) x common factors =1 x 1 = 1

LCM(343,849,631) = ( 343 × 849 × 631 ) / 1

LCM(343,849,631) = 183751617 / 1

LCM(343,849,631) = 183751617


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 37/343, 917/849, 707/631

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 37/343, 917/849, 707/631?

Answer: GCF of Numerators as per given numbers 37/343, 917/849, 707/631 is

GCF of Numerators i.e. for 37,917,707 is 1

LCM of denominators i.e. for 343,849,631 is 183751617.

Thus, GCF of Fractions is 1/183751617.Finally, GCF of Fractions for 37/343, 917/849, 707/631 is 1/183751617.