How to Find GCF of 1215/274, 3797/9121?

GCF of 1215/274, 3797/9121

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 1215/274, 3797/9121 i.e 1/2499154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1215/274, 3797/9121.

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 1215/274,3797/9121?

Given fractions are 1215/274,3797/9121

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 1215/274,3797/9121, numerators are 1215,3797

Denominators are 274,9121

The GCF of 1215,3797 is 1 .

LCM of 274,9121 is 2499154.

The greatest common factor of 1215/274,3797/9121 = [GCF of 1215,3797]/[LCM of 274,9121]= 1/2499154

Therefore, the GCF of 1215/274,3797/9121 is 1/2499154.

Greatest Common Factor of 1215,3797

To find the highest common factor of 1215,3797, we have to find the factors of both numbers and list the highest common factor.

The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215

The factors of 3797 are 1, 3797

The HCF of 1215,3797 is 1.

Lets's calculate GCF of 1215,3797

Greatest Common Factor (GCF) of 1215,3797 By Common Division

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

Greatest Common Factor of 1215,3797 By Matching Biggest Common Factor Method

Now, list down the factors of 1215

1,3,5,9,15,27,45,81,135,243,405,1215

Now, list down the factors of 3797

1,3797

Greatest Common Factor

We found the factors 1215,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,3797 is 1.

Lets's calculate LCM of 274,9121

Lowest Common Multiple of 274,9121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2499154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2499154

Therefore, the GCF of Fractions 1215/274,3797/9121 is 1/2499154

Least Common Multiple of 274,9121 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 274,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,9121) = 1

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

GCF(274,9121) x common factors =1 x 1 = 1

LCM(274,9121) = ( 274 × 9121 ) / 1

LCM(274,9121) = 2499154 / 1

LCM(274,9121) = 2499154

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FAQs on GCF of Fractions of 1215/274, 3797/9121

1. What is the HCF of 1215,3797?

The HCF of 1215,3797 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 1215/274, 3797/9121?

Answer: GCF of Numerators as per given numbers 1215/274, 3797/9121 is

GCF of Numerators i.e. for 1215,3797 is 1

LCM of denominators i.e. for 274,9121 is 2499154.

Thus, GCF of Fractions is 1/2499154.Finally, GCF of Fractions for 1215/274, 3797/9121 is 1/2499154.