How to Find GCF of 3797/132, 8077/5272?

GCF of 3797/132, 8077/5272

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 3797/132, 8077/5272 i.e 1/173976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3797/132, 8077/5272.

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 3797/132,8077/5272?

Given fractions are 3797/132,8077/5272

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 3797/132,8077/5272, numerators are 3797,8077

Denominators are 132,5272

The GCF of 3797,8077 is 1 .

LCM of 132,5272 is 173976.

The greatest common factor of 3797/132,8077/5272 = [GCF of 3797,8077]/[LCM of 132,5272]= 1/173976

Therefore, the GCF of 3797/132,8077/5272 is 1/173976.

Greatest Common Factor of 3797,8077

To find the highest common factor of 3797,8077, we have to find the factors of both numbers and list the highest common factor.

The factors of 3797 are 1, 3797

The factors of 8077 are 1, 41, 197, 8077

The HCF of 3797,8077 is 1.

Lets's calculate GCF of 3797,8077

Greatest Common Factor (GCF) of 3797,8077 By Common Division

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

Greatest Common Factor of 3797,8077 By Matching Biggest Common Factor Method

Now, list down the factors of 3797

1,3797

Now, list down the factors of 8077

1,41,197,8077

Greatest Common Factor

We found the factors 3797,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 3797,8077 is 1.

Lets's calculate LCM of 132,5272

Lowest Common Multiple of 132,5272 using Common Division

2	132, 5272
2	66, 2636
	33, 1318

∴ So the LCM of the given numbers is 2 x 2 x 33 x 1318 = 173976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173976

Therefore, the GCF of Fractions 3797/132,8077/5272 is 1/173976

Least Common Multiple of 132,5272 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 132,5272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,5272) = 4

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

GCF(132,5272) x common factors =4 x 1 = 4

LCM(132,5272) = ( 132 × 5272 ) / 4

LCM(132,5272) = 695904 / 4

LCM(132,5272) = 173976

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FAQs on GCF of Fractions of 3797/132, 8077/5272

1. What is the HCF of 3797,8077?

The HCF of 3797,8077 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 3797/132, 8077/5272?

Answer: GCF of Numerators as per given numbers 3797/132, 8077/5272 is

GCF of Numerators i.e. for 3797,8077 is 1

LCM of denominators i.e. for 132,5272 is 173976.

Thus, GCF of Fractions is 1/173976.Finally, GCF of Fractions for 3797/132, 8077/5272 is 1/173976.