How to Find GCF of 2731/925, 3634/4187?

GCF of 2731/925, 3634/4187

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 2731/925, 3634/4187 i.e 1/3872975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2731/925, 3634/4187.

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 2731/925,3634/4187?

Given fractions are 2731/925,3634/4187

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 2731/925,3634/4187, numerators are 2731,3634

Denominators are 925,4187

The GCF of 2731,3634 is 1 .

LCM of 925,4187 is 3872975.

The greatest common factor of 2731/925,3634/4187 = [GCF of 2731,3634]/[LCM of 925,4187]= 1/3872975

Therefore, the GCF of 2731/925,3634/4187 is 1/3872975.

Greatest Common Factor of 2731,3634

To find the highest common factor of 2731,3634, we have to find the factors of both numbers and list the highest common factor.

The factors of 2731 are 1, 2731

The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634

The HCF of 2731,3634 is 1.

Lets's calculate GCF of 2731,3634

Greatest Common Factor (GCF) of 2731,3634 By Common Division

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

Greatest Common Factor of 2731,3634 By Matching Biggest Common Factor Method

Now, list down the factors of 2731

1,2731

Now, list down the factors of 3634

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 2731,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,3634 is 1.

Lets's calculate LCM of 925,4187

Lowest Common Multiple of 925,4187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3872975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3872975

Therefore, the GCF of Fractions 2731/925,3634/4187 is 1/3872975

Least Common Multiple of 925,4187 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 925,4187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,4187) = 1

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

GCF(925,4187) x common factors =1 x 1 = 1

LCM(925,4187) = ( 925 × 4187 ) / 1

LCM(925,4187) = 3872975 / 1

LCM(925,4187) = 3872975

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FAQs on GCF of Fractions of 2731/925, 3634/4187

1. What is the HCF of 2731,3634?

The HCF of 2731,3634 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 2731/925, 3634/4187?

Answer: GCF of Numerators as per given numbers 2731/925, 3634/4187 is

GCF of Numerators i.e. for 2731,3634 is 1

LCM of denominators i.e. for 925,4187 is 3872975.

Thus, GCF of Fractions is 1/3872975.Finally, GCF of Fractions for 2731/925, 3634/4187 is 1/3872975.