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GCF of 637/20, 374/284

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 637/20, 374/284 i.e 1/1420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/20, 374/284.

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 637/20,374/284?

Given fractions are 637/20,374/284

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 637/20,374/284, numerators are 637,374

Denominators are 20,284

The GCF of 637,374 is 1 .

LCM of 20,284 is 1420.

The greatest common factor of 637/20,374/284 = [GCF of 637,374]/[LCM of 20,284]= 1/1420

Therefore, the GCF of 637/20,374/284 is 1/1420.

Greatest Common Factor of 637,374

To find the highest common factor of 637,374, we have to find the factors of both numbers and list the highest common factor.

The factors of 637 are 1, 7, 13, 49, 91, 637

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The HCF of 637,374 is 1.

Lets's calculate GCF of 637,374

Greatest Common Factor (GCF) of 637,374 By Common Division

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

Greatest Common Factor of 637,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,374 By Matching Biggest Common Factor Method

Now, list down the factors of 637

:

1,7,13,49,91,637

Now, list down the factors of 374

:

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 637,374 . The biggest common factor number is the GCF number.
So the greatest common factor 637,374 is 1.

Lets's calculate LCM of 20,284

Lowest Common Multiple of 20,284 using Common Division

2 20, 284
2 10, 142
5, 71

∴ So the LCM of the given numbers is 2 x 2 x 5 x 71 = 1420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420

Therefore, the GCF of Fractions 637/20,374/284 is 1/1420

Least Common Multiple of 20,284 with GCF Formula

Least Common Multiple of 20,284 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 20,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,284) = 4

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

GCF(20,284) x common factors =4 x 1 = 4

LCM(20,284) = ( 20 × 284 ) / 4

LCM(20,284) = 5680 / 4

LCM(20,284) = 1420


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FAQs on GCF of Fractions of 637/20, 374/284

1. What is the HCF of 637,374?

The HCF of 637,374 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 637/20, 374/284?

Answer: GCF of Numerators as per given numbers 637/20, 374/284 is

GCF of Numerators i.e. for 637,374 is 1

LCM of denominators i.e. for 20,284 is 1420.

Thus, GCF of Fractions is 1/1420.Finally, GCF of Fractions for 637/20, 374/284 is 1/1420.