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GCF of 938/472, 671/694

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 938/472, 671/694 i.e 1/163784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 938/472, 671/694.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 938/472,671/694?

Given fractions are 938/472,671/694

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 938/472,671/694, numerators are 938,671

Denominators are 472,694

The GCF of 938,671 is 1 .

LCM of 472,694 is 163784.

The greatest common factor of 938/472,671/694 = [GCF of 938,671]/[LCM of 472,694]= 1/163784

Therefore, the GCF of 938/472,671/694 is 1/163784.

Greatest Common Factor of 938,671

To find the highest common factor of 938,671, we have to find the factors of both numbers and list the highest common factor.

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The factors of 671 are 1, 11, 61, 671

The HCF of 938,671 is 1.

Lets's calculate GCF of 938,671

Greatest Common Factor (GCF) of 938,671 By Common Division

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

Greatest Common Factor of 938,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,671 By Matching Biggest Common Factor Method

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Now, list down the factors of 671

:

1,11,61,671

Greatest Common Factor

We found the factors 938,671 . The biggest common factor number is the GCF number.
So the greatest common factor 938,671 is 1.

Lets's calculate LCM of 472,694

Lowest Common Multiple of 472,694 using Common Division

2 472, 694
236, 347

∴ So the LCM of the given numbers is 2 x 236 x 347 = 163784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163784

Therefore, the GCF of Fractions 938/472,671/694 is 1/163784

Least Common Multiple of 472,694 with GCF Formula

Least Common Multiple of 472,694 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 472,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,694) = 2

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

GCF(472,694) x common factors =2 x 1 = 2

LCM(472,694) = ( 472 × 694 ) / 2

LCM(472,694) = 327568 / 2

LCM(472,694) = 163784


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FAQs on GCF of Fractions of 938/472, 671/694

1. What is the HCF of 938,671?

The HCF of 938,671 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 938/472, 671/694?

Answer: GCF of Numerators as per given numbers 938/472, 671/694 is

GCF of Numerators i.e. for 938,671 is 1

LCM of denominators i.e. for 472,694 is 163784.

Thus, GCF of Fractions is 1/163784.Finally, GCF of Fractions for 938/472, 671/694 is 1/163784.