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GCF of 615/724, 173/706

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 615/724, 173/706 i.e 1/255572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/724, 173/706.

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 615/724,173/706?

Given fractions are 615/724,173/706

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 615/724,173/706, numerators are 615,173

Denominators are 724,706

The GCF of 615,173 is 1 .

LCM of 724,706 is 255572.

The greatest common factor of 615/724,173/706 = [GCF of 615,173]/[LCM of 724,706]= 1/255572

Therefore, the GCF of 615/724,173/706 is 1/255572.

Greatest Common Factor of 615,173

To find the highest common factor of 615,173, we have to find the factors of both numbers and list the highest common factor.

The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615

The factors of 173 are 1, 173

The HCF of 615,173 is 1.

Lets's calculate GCF of 615,173

Greatest Common Factor (GCF) of 615,173 By Common Division

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

Greatest Common Factor of 615,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,173 By Matching Biggest Common Factor Method

Now, list down the factors of 615

:

1,3,5,15,41,123,205,615

Now, list down the factors of 173

:

1,173

Greatest Common Factor

We found the factors 615,173 . The biggest common factor number is the GCF number.
So the greatest common factor 615,173 is 1.

Lets's calculate LCM of 724,706

Lowest Common Multiple of 724,706 using Common Division

2 724, 706
362, 353

∴ So the LCM of the given numbers is 2 x 362 x 353 = 255572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255572

Therefore, the GCF of Fractions 615/724,173/706 is 1/255572

Least Common Multiple of 724,706 with GCF Formula

Least Common Multiple of 724,706 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 724,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,706) = 2

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

GCF(724,706) x common factors =2 x 1 = 2

LCM(724,706) = ( 724 × 706 ) / 2

LCM(724,706) = 511144 / 2

LCM(724,706) = 255572


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FAQs on GCF of Fractions of 615/724, 173/706

1. What is the HCF of 615,173?

The HCF of 615,173 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 615/724, 173/706?

Answer: GCF of Numerators as per given numbers 615/724, 173/706 is

GCF of Numerators i.e. for 615,173 is 1

LCM of denominators i.e. for 724,706 is 255572.

Thus, GCF of Fractions is 1/255572.Finally, GCF of Fractions for 615/724, 173/706 is 1/255572.