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GCF of 638/290, 577/942

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 638/290, 577/942 i.e 1/136590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/290, 577/942.

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 638/290,577/942?

Given fractions are 638/290,577/942

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 638/290,577/942, numerators are 638,577

Denominators are 290,942

The GCF of 638,577 is 1 .

LCM of 290,942 is 136590.

The greatest common factor of 638/290,577/942 = [GCF of 638,577]/[LCM of 290,942]= 1/136590

Therefore, the GCF of 638/290,577/942 is 1/136590.

Greatest Common Factor of 638,577

To find the highest common factor of 638,577, we have to find the factors of both numbers and list the highest common factor.

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The factors of 577 are 1, 577

The HCF of 638,577 is 1.

Lets's calculate GCF of 638,577

Greatest Common Factor (GCF) of 638,577 By Common Division

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

Greatest Common Factor of 638,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,577 By Matching Biggest Common Factor Method

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Now, list down the factors of 577

:

1,577

Greatest Common Factor

We found the factors 638,577 . The biggest common factor number is the GCF number.
So the greatest common factor 638,577 is 1.

Lets's calculate LCM of 290,942

Lowest Common Multiple of 290,942 using Common Division

2 290, 942
145, 471

∴ So the LCM of the given numbers is 2 x 145 x 471 = 136590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136590

Therefore, the GCF of Fractions 638/290,577/942 is 1/136590

Least Common Multiple of 290,942 with GCF Formula

Least Common Multiple of 290,942 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 290,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,942) = 2

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

GCF(290,942) x common factors =2 x 1 = 2

LCM(290,942) = ( 290 × 942 ) / 2

LCM(290,942) = 273180 / 2

LCM(290,942) = 136590


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FAQs on GCF of Fractions of 638/290, 577/942

1. What is the HCF of 638,577?

The HCF of 638,577 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 638/290, 577/942?

Answer: GCF of Numerators as per given numbers 638/290, 577/942 is

GCF of Numerators i.e. for 638,577 is 1

LCM of denominators i.e. for 290,942 is 136590.

Thus, GCF of Fractions is 1/136590.Finally, GCF of Fractions for 638/290, 577/942 is 1/136590.