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GCF of 968/674, 577/694

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 968/674, 577/694 i.e 1/233878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/674, 577/694.

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 968/674,577/694?

Given fractions are 968/674,577/694

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 968/674,577/694, numerators are 968,577

Denominators are 674,694

The GCF of 968,577 is 1 .

LCM of 674,694 is 233878.

The greatest common factor of 968/674,577/694 = [GCF of 968,577]/[LCM of 674,694]= 1/233878

Therefore, the GCF of 968/674,577/694 is 1/233878.

Greatest Common Factor of 968,577

To find the highest common factor of 968,577, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 577 are 1, 577

The HCF of 968,577 is 1.

Lets's calculate GCF of 968,577

Greatest Common Factor (GCF) of 968,577 By Common Division

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

Greatest Common Factor of 968,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,577 By Matching Biggest Common Factor Method

Now, list down the factors of 968

:

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 577

:

1,577

Greatest Common Factor

We found the factors 968,577 . The biggest common factor number is the GCF number.
So the greatest common factor 968,577 is 1.

Lets's calculate LCM of 674,694

Lowest Common Multiple of 674,694 using Common Division

2 674, 694
337, 347

∴ So the LCM of the given numbers is 2 x 337 x 347 = 233878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233878

Therefore, the GCF of Fractions 968/674,577/694 is 1/233878

Least Common Multiple of 674,694 with GCF Formula

Least Common Multiple of 674,694 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 674,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,694) = 2

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

GCF(674,694) x common factors =2 x 1 = 2

LCM(674,694) = ( 674 × 694 ) / 2

LCM(674,694) = 467756 / 2

LCM(674,694) = 233878


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FAQs on GCF of Fractions of 968/674, 577/694

1. What is the HCF of 968,577?

The HCF of 968,577 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 968/674, 577/694?

Answer: GCF of Numerators as per given numbers 968/674, 577/694 is

GCF of Numerators i.e. for 968,577 is 1

LCM of denominators i.e. for 674,694 is 233878.

Thus, GCF of Fractions is 1/233878.Finally, GCF of Fractions for 968/674, 577/694 is 1/233878.