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GCF of 975/22, 738/2981

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 975/22, 738/2981 i.e 3/5962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/22, 738/2981.

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 975/22,738/2981?

Given fractions are 975/22,738/2981

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 975/22,738/2981, numerators are 975,738

Denominators are 22,2981

The GCF of 975,738 is 3 .

LCM of 22,2981 is 5962.

The greatest common factor of 975/22,738/2981 = [GCF of 975,738]/[LCM of 22,2981]= 3/5962

Therefore, the GCF of 975/22,738/2981 is 3/5962.

Greatest Common Factor of 975,738

To find the highest common factor of 975,738, we have to find the factors of both numbers and list the highest common factor.

The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

The HCF of 975,738 is 3.

Lets's calculate GCF of 975,738

Greatest Common Factor (GCF) of 975,738 By Common Division

3 975, 738
325, 246

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 975,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,738 By Matching Biggest Common Factor Method

Now, list down the factors of 975

:

1,3,5,13,15,25,39,65,75,195,325,975

Now, list down the factors of 738

:

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 975,738 . The biggest common factor number is the GCF number.
So the greatest common factor 975,738 is 3.

Lets's calculate LCM of 22,2981

Lowest Common Multiple of 22,2981 using Common Division

11 22, 2981
2, 271

∴ So the LCM of the given numbers is 11 x 2 x 271 = 5962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5962

Therefore, the GCF of Fractions 975/22,738/2981 is 3/5962

Least Common Multiple of 22,2981 with GCF Formula

Least Common Multiple of 22,2981 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 22,2981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,2981) = 11

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

GCF(22,2981) x common factors =11 x 1 = 11

LCM(22,2981) = ( 22 × 2981 ) / 11

LCM(22,2981) = 65582 / 11

LCM(22,2981) = 5962


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FAQs on GCF of Fractions of 975/22, 738/2981

1. What is the HCF of 975,738?

The HCF of 975,738 is 3

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 975/22, 738/2981?

Answer: GCF of Numerators as per given numbers 975/22, 738/2981 is

GCF of Numerators i.e. for 975,738 is 3

LCM of denominators i.e. for 22,2981 is 5962.

Thus, GCF of Fractions is 3/5962.Finally, GCF of Fractions for 975/22, 738/2981 is 3/5962.