How to Find GCF of 527/724, 2037/109?

GCF of 527/724, 2037/109

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 527/724, 2037/109 i.e 1/78916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 527/724, 2037/109.

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 527/724,2037/109?

Given fractions are 527/724,2037/109

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 527/724,2037/109, numerators are 527,2037

Denominators are 724,109

The GCF of 527,2037 is 1 .

LCM of 724,109 is 78916.

The greatest common factor of 527/724,2037/109 = [GCF of 527,2037]/[LCM of 724,109]= 1/78916

Therefore, the GCF of 527/724,2037/109 is 1/78916.

Greatest Common Factor of 527,2037

To find the highest common factor of 527,2037, we have to find the factors of both numbers and list the highest common factor.

The factors of 527 are 1, 17, 31, 527

The factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037

The HCF of 527,2037 is 1.

Lets's calculate GCF of 527,2037

Greatest Common Factor (GCF) of 527,2037 By Common Division

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

Greatest Common Factor of 527,2037 By Matching Biggest Common Factor Method

Now, list down the factors of 527

1,17,31,527

Now, list down the factors of 2037

1,3,7,21,97,291,679,2037

Greatest Common Factor

We found the factors 527,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 527,2037 is 1.

Lets's calculate LCM of 724,109

Lowest Common Multiple of 724,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 78916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78916

Therefore, the GCF of Fractions 527/724,2037/109 is 1/78916

Least Common Multiple of 724,109 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 724,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,109) = 1

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

GCF(724,109) x common factors =1 x 1 = 1

LCM(724,109) = ( 724 × 109 ) / 1

LCM(724,109) = 78916 / 1

LCM(724,109) = 78916

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FAQs on GCF of Fractions of 527/724, 2037/109

1. What is the HCF of 527,2037?

The HCF of 527,2037 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 527/724, 2037/109?

Answer: GCF of Numerators as per given numbers 527/724, 2037/109 is

GCF of Numerators i.e. for 527,2037 is 1

LCM of denominators i.e. for 724,109 is 78916.

Thus, GCF of Fractions is 1/78916.Finally, GCF of Fractions for 527/724, 2037/109 is 1/78916.