Greatest Common Factor of 17/691, 970/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/691, 970/938

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 17/691,970/938

Given fractions are 17/691,970/938

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 17,970

Greatest Common Factor of Numerators i.e. GCF of 17,970 is 1 .

LCM of Denominators means LCM of 691,938 as per the given fractions.

LCM of 691,938 is 648158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,970

GCF of Fractions 17/691,970/938 is 1/648158

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

Greatest Common Factor of 17,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,970 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 17,970 . The biggest common factor number is the GCF number.
So the greatest common factor 17,970 is 1.

Lets's calculate LCM of 691,938

Given numbers has no common factors except 1. So, there LCM is their product i.e 648158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648158

Therefore, the GCF of Fractions 17/691,970/938 is 1/648158

Least Common Multiple of 691,938 with GCF Formula

Least Common Multiple of 691,938 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 691,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,938) = 1

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

GCF(691,938) x common factors =1 x 1 = 1

LCM(691,938) = ( 691 × 938 ) / 1

LCM(691,938) = 648158 / 1

LCM(691,938) = 648158


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 17/691, 970/938

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 17/691, 970/938?

Answer: GCF of Numerators as per given numbers 17/691, 970/938 is

GCF of Numerators i.e. for 17,970 is 1

LCM of denominators i.e. for 691,938 is 648158.

Thus, GCF of Fractions is 1/648158.Finally, GCF of Fractions for 17/691, 970/938 is 1/648158.