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GCF of 158/262, 259/878

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 158/262, 259/878 i.e 1/115018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/262, 259/878.

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 158/262,259/878?

Given fractions are 158/262,259/878

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 158/262,259/878, numerators are 158,259

Denominators are 262,878

The GCF of 158,259 is 1 .

LCM of 262,878 is 115018.

The greatest common factor of 158/262,259/878 = [GCF of 158,259]/[LCM of 262,878]= 1/115018

Therefore, the GCF of 158/262,259/878 is 1/115018.

Greatest Common Factor of 158,259

To find the highest common factor of 158,259, 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 259 are 1, 7, 37, 259

The HCF of 158,259 is 1.

Lets's calculate GCF of 158,259

Greatest Common Factor (GCF) of 158,259 By Common Division

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

Greatest Common Factor of 158,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,259 By Matching Biggest Common Factor Method

Now, list down the factors of 158

:

1,2,79,158

Now, list down the factors of 259

:

1,7,37,259

Greatest Common Factor

We found the factors 158,259 . The biggest common factor number is the GCF number.
So the greatest common factor 158,259 is 1.

Lets's calculate LCM of 262,878

Lowest Common Multiple of 262,878 using Common Division

2 262, 878
131, 439

∴ So the LCM of the given numbers is 2 x 131 x 439 = 115018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115018

Therefore, the GCF of Fractions 158/262,259/878 is 1/115018

Least Common Multiple of 262,878 with GCF Formula

Least Common Multiple of 262,878 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 262,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,878) = 2

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

GCF(262,878) x common factors =2 x 1 = 2

LCM(262,878) = ( 262 × 878 ) / 2

LCM(262,878) = 230036 / 2

LCM(262,878) = 115018


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FAQs on GCF of Fractions of 158/262, 259/878

1. What is the HCF of 158,259?

The HCF of 158,259 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 158/262, 259/878?

Answer: GCF of Numerators as per given numbers 158/262, 259/878 is

GCF of Numerators i.e. for 158,259 is 1

LCM of denominators i.e. for 262,878 is 115018.

Thus, GCF of Fractions is 1/115018.Finally, GCF of Fractions for 158/262, 259/878 is 1/115018.