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GCF of 8242/376, 1727/278

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 8242/376, 1727/278 i.e 1/52264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8242/376, 1727/278.

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 8242/376,1727/278?

Given fractions are 8242/376,1727/278

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 8242/376,1727/278, numerators are 8242,1727

Denominators are 376,278

The GCF of 8242,1727 is 1 .

LCM of 376,278 is 52264.

The greatest common factor of 8242/376,1727/278 = [GCF of 8242,1727]/[LCM of 376,278]= 1/52264

Therefore, the GCF of 8242/376,1727/278 is 1/52264.

Greatest Common Factor of 8242,1727

To find the highest common factor of 8242,1727, we have to find the factors of both numbers and list the highest common factor.

The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242

The factors of 1727 are 1, 11, 157, 1727

The HCF of 8242,1727 is 1.

Lets's calculate GCF of 8242,1727

Greatest Common Factor (GCF) of 8242,1727 By Common Division

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

Greatest Common Factor of 8242,1727 By Matching Biggest Common Factor Method

Greatest Common Factor of 8242,1727 By Matching Biggest Common Factor Method

Now, list down the factors of 8242

:

1,2,13,26,317,634,4121,8242

Now, list down the factors of 1727

:

1,11,157,1727

Greatest Common Factor

We found the factors 8242,1727 . The biggest common factor number is the GCF number.
So the greatest common factor 8242,1727 is 1.

Lets's calculate LCM of 376,278

Lowest Common Multiple of 376,278 using Common Division

2 376, 278
188, 139

∴ So the LCM of the given numbers is 2 x 188 x 139 = 52264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52264

Therefore, the GCF of Fractions 8242/376,1727/278 is 1/52264

Least Common Multiple of 376,278 with GCF Formula

Least Common Multiple of 376,278 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 376,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,278) = 2

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

GCF(376,278) x common factors =2 x 1 = 2

LCM(376,278) = ( 376 × 278 ) / 2

LCM(376,278) = 104528 / 2

LCM(376,278) = 52264


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FAQs on GCF of Fractions of 8242/376, 1727/278

1. What is the HCF of 8242,1727?

The HCF of 8242,1727 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 8242/376, 1727/278?

Answer: GCF of Numerators as per given numbers 8242/376, 1727/278 is

GCF of Numerators i.e. for 8242,1727 is 1

LCM of denominators i.e. for 376,278 is 52264.

Thus, GCF of Fractions is 1/52264.Finally, GCF of Fractions for 8242/376, 1727/278 is 1/52264.