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GCF of 657/616, 290/432

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 657/616, 290/432 i.e 1/33264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 657/616, 290/432.

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 657/616,290/432?

Given fractions are 657/616,290/432

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 657/616,290/432, numerators are 657,290

Denominators are 616,432

The GCF of 657,290 is 1 .

LCM of 616,432 is 33264.

The greatest common factor of 657/616,290/432 = [GCF of 657,290]/[LCM of 616,432]= 1/33264

Therefore, the GCF of 657/616,290/432 is 1/33264.

Greatest Common Factor of 657,290

To find the highest common factor of 657,290, we have to find the factors of both numbers and list the highest common factor.

The factors of 657 are 1, 3, 9, 73, 219, 657

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The HCF of 657,290 is 1.

Lets's calculate GCF of 657,290

Greatest Common Factor (GCF) of 657,290 By Common Division

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

Greatest Common Factor of 657,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,290 By Matching Biggest Common Factor Method

Now, list down the factors of 657

:

1,3,9,73,219,657

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 657,290 . The biggest common factor number is the GCF number.
So the greatest common factor 657,290 is 1.

Lets's calculate LCM of 616,432

Lowest Common Multiple of 616,432 using Common Division

2 616, 432
2 308, 216
2 154, 108
77, 54

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 54 = 33264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33264

Therefore, the GCF of Fractions 657/616,290/432 is 1/33264

Least Common Multiple of 616,432 with GCF Formula

Least Common Multiple of 616,432 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 616,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,432) = 8

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

GCF(616,432) x common factors =8 x 1 = 8

LCM(616,432) = ( 616 × 432 ) / 8

LCM(616,432) = 266112 / 8

LCM(616,432) = 33264


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FAQs on GCF of Fractions of 657/616, 290/432

1. What is the HCF of 657,290?

The HCF of 657,290 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 657/616, 290/432?

Answer: GCF of Numerators as per given numbers 657/616, 290/432 is

GCF of Numerators i.e. for 657,290 is 1

LCM of denominators i.e. for 616,432 is 33264.

Thus, GCF of Fractions is 1/33264.Finally, GCF of Fractions for 657/616, 290/432 is 1/33264.