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GCF of 7115/532, 6747/422

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 7115/532, 6747/422 i.e 1/112252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7115/532, 6747/422.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7115/532,6747/422?

Given fractions are 7115/532,6747/422

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 7115/532,6747/422, numerators are 7115,6747

Denominators are 532,422

The GCF of 7115,6747 is 1 .

LCM of 532,422 is 112252.

The greatest common factor of 7115/532,6747/422 = [GCF of 7115,6747]/[LCM of 532,422]= 1/112252

Therefore, the GCF of 7115/532,6747/422 is 1/112252.

Greatest Common Factor of 7115,6747

To find the highest common factor of 7115,6747, we have to find the factors of both numbers and list the highest common factor.

The factors of 7115 are 1, 5, 1423, 7115

The factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747

The HCF of 7115,6747 is 1.

Lets's calculate GCF of 7115,6747

Greatest Common Factor (GCF) of 7115,6747 By Common Division

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

Greatest Common Factor of 7115,6747 By Matching Biggest Common Factor Method

Greatest Common Factor of 7115,6747 By Matching Biggest Common Factor Method

Now, list down the factors of 7115

:

1,5,1423,7115

Now, list down the factors of 6747

:

1,3,13,39,173,519,2249,6747

Greatest Common Factor

We found the factors 7115,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 7115,6747 is 1.

Lets's calculate LCM of 532,422

Lowest Common Multiple of 532,422 using Common Division

2 532, 422
266, 211

∴ So the LCM of the given numbers is 2 x 266 x 211 = 112252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112252

Therefore, the GCF of Fractions 7115/532,6747/422 is 1/112252

Least Common Multiple of 532,422 with GCF Formula

Least Common Multiple of 532,422 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 532,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,422) = 2

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

GCF(532,422) x common factors =2 x 1 = 2

LCM(532,422) = ( 532 × 422 ) / 2

LCM(532,422) = 224504 / 2

LCM(532,422) = 112252


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FAQs on GCF of Fractions of 7115/532, 6747/422

1. What is the HCF of 7115,6747?

The HCF of 7115,6747 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 7115/532, 6747/422?

Answer: GCF of Numerators as per given numbers 7115/532, 6747/422 is

GCF of Numerators i.e. for 7115,6747 is 1

LCM of denominators i.e. for 532,422 is 112252.

Thus, GCF of Fractions is 1/112252.Finally, GCF of Fractions for 7115/532, 6747/422 is 1/112252.