How to Find GCF of 1463/137, 2619/792?

GCF of 1463/137, 2619/792

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 1463/137, 2619/792 i.e 1/108504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1463/137, 2619/792.

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 1463/137,2619/792?

Given fractions are 1463/137,2619/792

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 1463/137,2619/792, numerators are 1463,2619

Denominators are 137,792

The GCF of 1463,2619 is 1 .

LCM of 137,792 is 108504.

The greatest common factor of 1463/137,2619/792 = [GCF of 1463,2619]/[LCM of 137,792]= 1/108504

Therefore, the GCF of 1463/137,2619/792 is 1/108504.

Greatest Common Factor of 1463,2619

To find the highest common factor of 1463,2619, we have to find the factors of both numbers and list the highest common factor.

The factors of 1463 are 1, 7, 11, 19, 77, 133, 209, 1463

The factors of 2619 are 1, 3, 9, 27, 97, 291, 873, 2619

The HCF of 1463,2619 is 1.

Lets's calculate GCF of 1463,2619

Greatest Common Factor (GCF) of 1463,2619 By Common Division

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

Greatest Common Factor of 1463,2619 By Matching Biggest Common Factor Method

Now, list down the factors of 1463

1,7,11,19,77,133,209,1463

Now, list down the factors of 2619

1,3,9,27,97,291,873,2619

Greatest Common Factor

We found the factors 1463,2619 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,2619 is 1.

Lets's calculate LCM of 137,792

Lowest Common Multiple of 137,792 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 108504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108504

Therefore, the GCF of Fractions 1463/137,2619/792 is 1/108504

Least Common Multiple of 137,792 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 137,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,792) = 1

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

GCF(137,792) x common factors =1 x 1 = 1

LCM(137,792) = ( 137 × 792 ) / 1

LCM(137,792) = 108504 / 1

LCM(137,792) = 108504

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FAQs on GCF of Fractions of 1463/137, 2619/792

1. What is the HCF of 1463,2619?

The HCF of 1463,2619 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 1463/137, 2619/792?

Answer: GCF of Numerators as per given numbers 1463/137, 2619/792 is

GCF of Numerators i.e. for 1463,2619 is 1

LCM of denominators i.e. for 137,792 is 108504.

Thus, GCF of Fractions is 1/108504.Finally, GCF of Fractions for 1463/137, 2619/792 is 1/108504.