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GCF of 158/17, 238/976

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 158/17, 238/976 i.e 2/16592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/17, 238/976.

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 158/17,238/976?

Given fractions are 158/17,238/976

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 158/17,238/976, numerators are 158,238

Denominators are 17,976

The GCF of 158,238 is 2 .

LCM of 17,976 is 16592.

The greatest common factor of 158/17,238/976 = [GCF of 158,238]/[LCM of 17,976]= 2/16592

Therefore, the GCF of 158/17,238/976 is 2/16592.

Greatest Common Factor of 158,238

To find the highest common factor of 158,238, we have to find the factors of both numbers and list the highest common factor.

The factors of 158 are 1, 2, 79, 158

The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238

The HCF of 158,238 is 2.

Lets's calculate GCF of 158,238

Greatest Common Factor (GCF) of 158,238 By Common Division

2 158, 238
79, 119

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

Greatest Common Factor of 158,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,238 By Matching Biggest Common Factor Method

Now, list down the factors of 158

:

1,2,79,158

Now, list down the factors of 238

:

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 158,238 . The biggest common factor number is the GCF number.
So the greatest common factor 158,238 is 2.

Lets's calculate LCM of 17,976

Lowest Common Multiple of 17,976 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16592

Therefore, the GCF of Fractions 158/17,238/976 is 2/16592

Least Common Multiple of 17,976 with GCF Formula

Least Common Multiple of 17,976 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 17,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,976) = 1

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

GCF(17,976) x common factors =1 x 1 = 1

LCM(17,976) = ( 17 × 976 ) / 1

LCM(17,976) = 16592 / 1

LCM(17,976) = 16592


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FAQs on GCF of Fractions of 158/17, 238/976

1. What is the HCF of 158,238?

The HCF of 158,238 is 2

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 158/17, 238/976?

Answer: GCF of Numerators as per given numbers 158/17, 238/976 is

GCF of Numerators i.e. for 158,238 is 2

LCM of denominators i.e. for 17,976 is 16592.

Thus, GCF of Fractions is 2/16592.Finally, GCF of Fractions for 158/17, 238/976 is 2/16592.