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GCF of 613/28, 931/409

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 613/28, 931/409 i.e 1/11452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/28, 931/409.

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 613/28,931/409?

Given fractions are 613/28,931/409

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 613/28,931/409, numerators are 613,931

Denominators are 28,409

The GCF of 613,931 is 1 .

LCM of 28,409 is 11452.

The greatest common factor of 613/28,931/409 = [GCF of 613,931]/[LCM of 28,409]= 1/11452

Therefore, the GCF of 613/28,931/409 is 1/11452.

Greatest Common Factor of 613,931

To find the highest common factor of 613,931, we have to find the factors of both numbers and list the highest common factor.

The factors of 613 are 1, 613

The factors of 931 are 1, 7, 19, 49, 133, 931

The HCF of 613,931 is 1.

Lets's calculate GCF of 613,931

Greatest Common Factor (GCF) of 613,931 By Common Division

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

Greatest Common Factor of 613,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,931 By Matching Biggest Common Factor Method

Now, list down the factors of 613

:

1,613

Now, list down the factors of 931

:

1,7,19,49,133,931

Greatest Common Factor

We found the factors 613,931 . The biggest common factor number is the GCF number.
So the greatest common factor 613,931 is 1.

Lets's calculate LCM of 28,409

Lowest Common Multiple of 28,409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11452

Therefore, the GCF of Fractions 613/28,931/409 is 1/11452

Least Common Multiple of 28,409 with GCF Formula

Least Common Multiple of 28,409 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 28,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,409) = 1

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

GCF(28,409) x common factors =1 x 1 = 1

LCM(28,409) = ( 28 × 409 ) / 1

LCM(28,409) = 11452 / 1

LCM(28,409) = 11452


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FAQs on GCF of Fractions of 613/28, 931/409

1. What is the HCF of 613,931?

The HCF of 613,931 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 613/28, 931/409?

Answer: GCF of Numerators as per given numbers 613/28, 931/409 is

GCF of Numerators i.e. for 613,931 is 1

LCM of denominators i.e. for 28,409 is 11452.

Thus, GCF of Fractions is 1/11452.Finally, GCF of Fractions for 613/28, 931/409 is 1/11452.