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GCF of 367/724, 983/956

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 367/724, 983/956 i.e 1/173036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/724, 983/956.

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 367/724,983/956?

Given fractions are 367/724,983/956

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 367/724,983/956, numerators are 367,983

Denominators are 724,956

The GCF of 367,983 is 1 .

LCM of 724,956 is 173036.

The greatest common factor of 367/724,983/956 = [GCF of 367,983]/[LCM of 724,956]= 1/173036

Therefore, the GCF of 367/724,983/956 is 1/173036.

Greatest Common Factor of 367,983

To find the highest common factor of 367,983, we have to find the factors of both numbers and list the highest common factor.

The factors of 367 are 1, 367

The factors of 983 are 1, 983

The HCF of 367,983 is 1.

Lets's calculate GCF of 367,983

Greatest Common Factor (GCF) of 367,983 By Common Division

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

Greatest Common Factor of 367,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,983 By Matching Biggest Common Factor Method

Now, list down the factors of 367

:

1,367

Now, list down the factors of 983

:

1,983

Greatest Common Factor

We found the factors 367,983 . The biggest common factor number is the GCF number.
So the greatest common factor 367,983 is 1.

Lets's calculate LCM of 724,956

Lowest Common Multiple of 724,956 using Common Division

2 724, 956
2 362, 478
181, 239

∴ So the LCM of the given numbers is 2 x 2 x 181 x 239 = 173036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173036

Therefore, the GCF of Fractions 367/724,983/956 is 1/173036

Least Common Multiple of 724,956 with GCF Formula

Least Common Multiple of 724,956 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 724,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,956) = 4

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

GCF(724,956) x common factors =4 x 1 = 4

LCM(724,956) = ( 724 × 956 ) / 4

LCM(724,956) = 692144 / 4

LCM(724,956) = 173036


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FAQs on GCF of Fractions of 367/724, 983/956

1. What is the HCF of 367,983?

The HCF of 367,983 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 367/724, 983/956?

Answer: GCF of Numerators as per given numbers 367/724, 983/956 is

GCF of Numerators i.e. for 367,983 is 1

LCM of denominators i.e. for 724,956 is 173036.

Thus, GCF of Fractions is 1/173036.Finally, GCF of Fractions for 367/724, 983/956 is 1/173036.