How to Find GCF of 7095/524, 2582/7416?

GCF of 7095/524, 2582/7416

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 7095/524, 2582/7416 i.e 1/971496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7095/524, 2582/7416.

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 7095/524,2582/7416?

Given fractions are 7095/524,2582/7416

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 7095/524,2582/7416, numerators are 7095,2582

Denominators are 524,7416

The GCF of 7095,2582 is 1 .

LCM of 524,7416 is 971496.

The greatest common factor of 7095/524,2582/7416 = [GCF of 7095,2582]/[LCM of 524,7416]= 1/971496

Therefore, the GCF of 7095/524,2582/7416 is 1/971496.

Greatest Common Factor of 7095,2582

To find the highest common factor of 7095,2582, we have to find the factors of both numbers and list the highest common factor.

The factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095

The factors of 2582 are 1, 2, 1291, 2582

The HCF of 7095,2582 is 1.

Lets's calculate GCF of 7095,2582

Greatest Common Factor (GCF) of 7095,2582 By Common Division

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

Greatest Common Factor of 7095,2582 By Matching Biggest Common Factor Method

Now, list down the factors of 7095

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Now, list down the factors of 2582

1,2,1291,2582

Greatest Common Factor

We found the factors 7095,2582 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,2582 is 1.

Lets's calculate LCM of 524,7416

Lowest Common Multiple of 524,7416 using Common Division

2	524, 7416
2	262, 3708
	131, 1854

∴ So the LCM of the given numbers is 2 x 2 x 131 x 1854 = 971496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/971496

Therefore, the GCF of Fractions 7095/524,2582/7416 is 1/971496

Least Common Multiple of 524,7416 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 524,7416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,7416) = 4

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

GCF(524,7416) x common factors =4 x 1 = 4

LCM(524,7416) = ( 524 × 7416 ) / 4

LCM(524,7416) = 3885984 / 4

LCM(524,7416) = 971496

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FAQs on GCF of Fractions of 7095/524, 2582/7416

1. What is the HCF of 7095,2582?

The HCF of 7095,2582 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 7095/524, 2582/7416?

Answer: GCF of Numerators as per given numbers 7095/524, 2582/7416 is

GCF of Numerators i.e. for 7095,2582 is 1

LCM of denominators i.e. for 524,7416 is 971496.

Thus, GCF of Fractions is 1/971496.Finally, GCF of Fractions for 7095/524, 2582/7416 is 1/971496.