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GCF of 913/230, 938/766

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 913/230, 938/766 i.e 1/88090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/230, 938/766.

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 913/230,938/766?

Given fractions are 913/230,938/766

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 913/230,938/766, numerators are 913,938

Denominators are 230,766

The GCF of 913,938 is 1 .

LCM of 230,766 is 88090.

The greatest common factor of 913/230,938/766 = [GCF of 913,938]/[LCM of 230,766]= 1/88090

Therefore, the GCF of 913/230,938/766 is 1/88090.

Greatest Common Factor of 913,938

To find the highest common factor of 913,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 913 are 1, 11, 83, 913

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 913,938 is 1.

Lets's calculate GCF of 913,938

Greatest Common Factor (GCF) of 913,938 By Common Division

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

Greatest Common Factor of 913,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,938 By Matching Biggest Common Factor Method

Now, list down the factors of 913

:

1,11,83,913

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 913,938 . The biggest common factor number is the GCF number.
So the greatest common factor 913,938 is 1.

Lets's calculate LCM of 230,766

Lowest Common Multiple of 230,766 using Common Division

2 230, 766
115, 383

∴ So the LCM of the given numbers is 2 x 115 x 383 = 88090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88090

Therefore, the GCF of Fractions 913/230,938/766 is 1/88090

Least Common Multiple of 230,766 with GCF Formula

Least Common Multiple of 230,766 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 230,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,766) = 2

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

GCF(230,766) x common factors =2 x 1 = 2

LCM(230,766) = ( 230 × 766 ) / 2

LCM(230,766) = 176180 / 2

LCM(230,766) = 88090


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FAQs on GCF of Fractions of 913/230, 938/766

1. What is the HCF of 913,938?

The HCF of 913,938 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 913/230, 938/766?

Answer: GCF of Numerators as per given numbers 913/230, 938/766 is

GCF of Numerators i.e. for 913,938 is 1

LCM of denominators i.e. for 230,766 is 88090.

Thus, GCF of Fractions is 1/88090.Finally, GCF of Fractions for 913/230, 938/766 is 1/88090.