Greatest Common Factor of 937/70, 560/35, 303/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 937/70, 560/35, 303/666

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 937/70,560/35,303/666

Given fractions are 937/70,560/35,303/666

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 937,560,303

Greatest Common Factor of Numerators i.e. GCF of 937,560,303 is 1 .

LCM of Denominators means LCM of 70,35,666 as per the given fractions.

LCM of 70,35,666 is 23310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 937,560,303

GCF of Fractions 937/70,560/35,303/666 is 1/23310

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

Greatest Common Factor of 937,560,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,560,303 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 937,560,303 . The biggest common factor number is the GCF number.
So the greatest common factor 937,560,303 is 1.


Lets's calculate LCM of 70,35,666

2 70, 35, 666
5 35, 35, 333
7 7, 7, 333
1, 1, 333

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 333 = 23310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23310

Therefore, the GCF of Fractions 937/70,560/35,303/666 is 1/23310

Least Common Multiple of 70,35,666 with GCF Formula

Least Common Multiple of 70,35,666 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 70,35,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,35,666) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(70,35,666) x common factors =1 x 70 = 70

LCM(70,35,666) = ( 70 × 35 × 666 ) / 70

LCM(70,35,666) = 1631700 / 70

LCM(70,35,666) = 23310


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 937/70, 560/35, 303/666

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 937/70, 560/35, 303/666?

Answer: GCF of Numerators as per given numbers 937/70, 560/35, 303/666 is

GCF of Numerators i.e. for 937,560,303 is 1

LCM of denominators i.e. for 70,35,666 is 23310.

Thus, GCF of Fractions is 1/23310.Finally, GCF of Fractions for 937/70, 560/35, 303/666 is 1/23310.