How to Find GCF of 2497/913, 4885/1931?

GCF of 2497/913, 4885/1931

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 2497/913, 4885/1931 i.e 1/1763003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2497/913, 4885/1931.

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 2497/913,4885/1931?

Given fractions are 2497/913,4885/1931

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 2497/913,4885/1931, numerators are 2497,4885

Denominators are 913,1931

The GCF of 2497,4885 is 1 .

LCM of 913,1931 is 1763003.

The greatest common factor of 2497/913,4885/1931 = [GCF of 2497,4885]/[LCM of 913,1931]= 1/1763003

Therefore, the GCF of 2497/913,4885/1931 is 1/1763003.

Greatest Common Factor of 2497,4885

To find the highest common factor of 2497,4885, we have to find the factors of both numbers and list the highest common factor.

The factors of 2497 are 1, 11, 227, 2497

The factors of 4885 are 1, 5, 977, 4885

The HCF of 2497,4885 is 1.

Lets's calculate GCF of 2497,4885

Greatest Common Factor (GCF) of 2497,4885 By Common Division

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

Greatest Common Factor of 2497,4885 By Matching Biggest Common Factor Method

Now, list down the factors of 2497

1,11,227,2497

Now, list down the factors of 4885

1,5,977,4885

Greatest Common Factor

We found the factors 2497,4885 . The biggest common factor number is the GCF number.
So the greatest common factor 2497,4885 is 1.

Lets's calculate LCM of 913,1931

Lowest Common Multiple of 913,1931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1763003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1763003

Therefore, the GCF of Fractions 2497/913,4885/1931 is 1/1763003

Least Common Multiple of 913,1931 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 913,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,1931) = 1

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

GCF(913,1931) x common factors =1 x 1 = 1

LCM(913,1931) = ( 913 × 1931 ) / 1

LCM(913,1931) = 1763003 / 1

LCM(913,1931) = 1763003

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FAQs on GCF of Fractions of 2497/913, 4885/1931

1. What is the HCF of 2497,4885?

The HCF of 2497,4885 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 2497/913, 4885/1931?

Answer: GCF of Numerators as per given numbers 2497/913, 4885/1931 is

GCF of Numerators i.e. for 2497,4885 is 1

LCM of denominators i.e. for 913,1931 is 1763003.

Thus, GCF of Fractions is 1/1763003.Finally, GCF of Fractions for 2497/913, 4885/1931 is 1/1763003.