Greatest Common Factor of 612/615, 7222/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 612/615, 7222/175

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 612/615,7222/175

Given fractions are 612/615,7222/175

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 612,7222

Greatest Common Factor of Numerators i.e. GCF of 612,7222 is 2 .

LCM of Denominators means LCM of 615,175 as per the given fractions.

LCM of 615,175 is 21525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,7222

GCF of Fractions 612/615,7222/175 is 2/21525

2 612, 7222
306, 3611

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 612,7222 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,7222 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Greatest Common Factor

We found the factors 612,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 612,7222 is 2.


Lets's calculate LCM of 615,175

5 615, 175
123, 35

∴ So the LCM of the given numbers is 5 x 123 x 35 = 21525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21525

Therefore, the GCF of Fractions 612/615,7222/175 is 2/21525

Least Common Multiple of 615,175 with GCF Formula

Least Common Multiple of 615,175 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 615,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,175) = 5

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

GCF(615,175) x common factors =5 x 1 = 5

LCM(615,175) = ( 615 × 175 ) / 5

LCM(615,175) = 107625 / 5

LCM(615,175) = 21525


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 612/615, 7222/175

1. 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.

2. What is the GCF of Fractions for 612/615, 7222/175?

Answer: GCF of Numerators as per given numbers 612/615, 7222/175 is

GCF of Numerators i.e. for 612,7222 is 2

LCM of denominators i.e. for 615,175 is 21525.

Thus, GCF of Fractions is 2/21525.Finally, GCF of Fractions for 612/615, 7222/175 is 2/21525.