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GCF of 157/298, 715/120

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 157/298, 715/120 i.e 1/17880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 157/298, 715/120.

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 157/298,715/120?

Given fractions are 157/298,715/120

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 157/298,715/120, numerators are 157,715

Denominators are 298,120

The GCF of 157,715 is 1 .

LCM of 298,120 is 17880.

The greatest common factor of 157/298,715/120 = [GCF of 157,715]/[LCM of 298,120]= 1/17880

Therefore, the GCF of 157/298,715/120 is 1/17880.

Greatest Common Factor of 157,715

To find the highest common factor of 157,715, we have to find the factors of both numbers and list the highest common factor.

The factors of 157 are 1, 157

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The HCF of 157,715 is 1.

Lets's calculate GCF of 157,715

Greatest Common Factor (GCF) of 157,715 By Common Division

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

Greatest Common Factor of 157,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,715 By Matching Biggest Common Factor Method

Now, list down the factors of 157

:

1,157

Now, list down the factors of 715

:

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 157,715 . The biggest common factor number is the GCF number.
So the greatest common factor 157,715 is 1.

Lets's calculate LCM of 298,120

Lowest Common Multiple of 298,120 using Common Division

2 298, 120
149, 60

∴ So the LCM of the given numbers is 2 x 149 x 60 = 17880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17880

Therefore, the GCF of Fractions 157/298,715/120 is 1/17880

Least Common Multiple of 298,120 with GCF Formula

Least Common Multiple of 298,120 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 298,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,120) = 2

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

GCF(298,120) x common factors =2 x 1 = 2

LCM(298,120) = ( 298 × 120 ) / 2

LCM(298,120) = 35760 / 2

LCM(298,120) = 17880


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FAQs on GCF of Fractions of 157/298, 715/120

1. What is the HCF of 157,715?

The HCF of 157,715 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 157/298, 715/120?

Answer: GCF of Numerators as per given numbers 157/298, 715/120 is

GCF of Numerators i.e. for 157,715 is 1

LCM of denominators i.e. for 298,120 is 17880.

Thus, GCF of Fractions is 1/17880.Finally, GCF of Fractions for 157/298, 715/120 is 1/17880.