How to Find GCF of 7359/500, 6374/1529?

GCF of 7359/500, 6374/1529

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 7359/500, 6374/1529 i.e 1/764500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/500, 6374/1529.

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 7359/500,6374/1529?

Given fractions are 7359/500,6374/1529

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 7359/500,6374/1529, numerators are 7359,6374

Denominators are 500,1529

The GCF of 7359,6374 is 1 .

LCM of 500,1529 is 764500.

The greatest common factor of 7359/500,6374/1529 = [GCF of 7359,6374]/[LCM of 500,1529]= 1/764500

Therefore, the GCF of 7359/500,6374/1529 is 1/764500.

Greatest Common Factor of 7359,6374

To find the highest common factor of 7359,6374, we have to find the factors of both numbers and list the highest common factor.

The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359

The factors of 6374 are 1, 2, 3187, 6374

The HCF of 7359,6374 is 1.

Lets's calculate GCF of 7359,6374

Greatest Common Factor (GCF) of 7359,6374 By Common Division

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

Greatest Common Factor of 7359,6374 By Matching Biggest Common Factor Method

Now, list down the factors of 7359

1,3,11,33,223,669,2453,7359

Now, list down the factors of 6374

1,2,3187,6374

Greatest Common Factor

We found the factors 7359,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,6374 is 1.

Lets's calculate LCM of 500,1529

Lowest Common Multiple of 500,1529 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 764500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/764500

Therefore, the GCF of Fractions 7359/500,6374/1529 is 1/764500

Least Common Multiple of 500,1529 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 500,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,1529) = 1

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

GCF(500,1529) x common factors =1 x 1 = 1

LCM(500,1529) = ( 500 × 1529 ) / 1

LCM(500,1529) = 764500 / 1

LCM(500,1529) = 764500

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FAQs on GCF of Fractions of 7359/500, 6374/1529

1. What is the HCF of 7359,6374?

The HCF of 7359,6374 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 7359/500, 6374/1529?

Answer: GCF of Numerators as per given numbers 7359/500, 6374/1529 is

GCF of Numerators i.e. for 7359,6374 is 1

LCM of denominators i.e. for 500,1529 is 764500.

Thus, GCF of Fractions is 1/764500.Finally, GCF of Fractions for 7359/500, 6374/1529 is 1/764500.