How to Find GCF of 674/938, 8968/792?

GCF of 674/938, 8968/792

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 674/938, 8968/792 i.e 2/371448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/938, 8968/792.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 674/938,8968/792?

Given fractions are 674/938,8968/792

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 674/938,8968/792, numerators are 674,8968

Denominators are 938,792

The GCF of 674,8968 is 2 .

LCM of 938,792 is 371448.

The greatest common factor of 674/938,8968/792 = [GCF of 674,8968]/[LCM of 938,792]= 2/371448

Therefore, the GCF of 674/938,8968/792 is 2/371448.

Greatest Common Factor of 674,8968

To find the highest common factor of 674,8968, we have to find the factors of both numbers and list the highest common factor.

The factors of 674 are 1, 2, 337, 674

The factors of 8968 are 1, 2, 4, 8, 19, 38, 59, 76, 118, 152, 236, 472, 1121, 2242, 4484, 8968

The HCF of 674,8968 is 2.

Lets's calculate GCF of 674,8968

Greatest Common Factor (GCF) of 674,8968 By Common Division

2	674, 8968
	337, 4484

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 674,8968 By Matching Biggest Common Factor Method

Now, list down the factors of 674

1,2,337,674

Now, list down the factors of 8968

1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968

Greatest Common Factor

We found the factors 674,8968 . The biggest common factor number is the GCF number.
So the greatest common factor 674,8968 is 2.

Lets's calculate LCM of 938,792

Lowest Common Multiple of 938,792 using Common Division

2	938, 792
	469, 396

∴ So the LCM of the given numbers is 2 x 469 x 396 = 371448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/371448

Therefore, the GCF of Fractions 674/938,8968/792 is 2/371448

Least Common Multiple of 938,792 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 938,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,792) = 2

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

GCF(938,792) x common factors =2 x 1 = 2

LCM(938,792) = ( 938 × 792 ) / 2

LCM(938,792) = 742896 / 2

LCM(938,792) = 371448

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FAQs on GCF of Fractions of 674/938, 8968/792

1. What is the HCF of 674,8968?

The HCF of 674,8968 is 2

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 674/938, 8968/792?

Answer: GCF of Numerators as per given numbers 674/938, 8968/792 is

GCF of Numerators i.e. for 674,8968 is 2

LCM of denominators i.e. for 938,792 is 371448.

Thus, GCF of Fractions is 2/371448.Finally, GCF of Fractions for 674/938, 8968/792 is 2/371448.