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GCF of 301/376, 2609/686

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 301/376, 2609/686 i.e 1/128968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/376, 2609/686.

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 301/376,2609/686?

Given fractions are 301/376,2609/686

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 301/376,2609/686, numerators are 301,2609

Denominators are 376,686

The GCF of 301,2609 is 1 .

LCM of 376,686 is 128968.

The greatest common factor of 301/376,2609/686 = [GCF of 301,2609]/[LCM of 376,686]= 1/128968

Therefore, the GCF of 301/376,2609/686 is 1/128968.

Greatest Common Factor of 301,2609

To find the highest common factor of 301,2609, we have to find the factors of both numbers and list the highest common factor.

The factors of 301 are 1, 7, 43, 301

The factors of 2609 are 1, 2609

The HCF of 301,2609 is 1.

Lets's calculate GCF of 301,2609

Greatest Common Factor (GCF) of 301,2609 By Common Division

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

Greatest Common Factor of 301,2609 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,2609 By Matching Biggest Common Factor Method

Now, list down the factors of 301

:

1,7,43,301

Now, list down the factors of 2609

:

1,2609

Greatest Common Factor

We found the factors 301,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 301,2609 is 1.

Lets's calculate LCM of 376,686

Lowest Common Multiple of 376,686 using Common Division

2 376, 686
188, 343

∴ So the LCM of the given numbers is 2 x 188 x 343 = 128968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128968

Therefore, the GCF of Fractions 301/376,2609/686 is 1/128968

Least Common Multiple of 376,686 with GCF Formula

Least Common Multiple of 376,686 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 376,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,686) = 2

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

GCF(376,686) x common factors =2 x 1 = 2

LCM(376,686) = ( 376 × 686 ) / 2

LCM(376,686) = 257936 / 2

LCM(376,686) = 128968


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FAQs on GCF of Fractions of 301/376, 2609/686

1. What is the HCF of 301,2609?

The HCF of 301,2609 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 301/376, 2609/686?

Answer: GCF of Numerators as per given numbers 301/376, 2609/686 is

GCF of Numerators i.e. for 301,2609 is 1

LCM of denominators i.e. for 376,686 is 128968.

Thus, GCF of Fractions is 1/128968.Finally, GCF of Fractions for 301/376, 2609/686 is 1/128968.