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GCF of 158/78, 644/493

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 158/78, 644/493 i.e 2/38454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/78, 644/493.

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 158/78,644/493?

Given fractions are 158/78,644/493

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 158/78,644/493, numerators are 158,644

Denominators are 78,493

The GCF of 158,644 is 2 .

LCM of 78,493 is 38454.

The greatest common factor of 158/78,644/493 = [GCF of 158,644]/[LCM of 78,493]= 2/38454

Therefore, the GCF of 158/78,644/493 is 2/38454.

Greatest Common Factor of 158,644

To find the highest common factor of 158,644, 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 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

The HCF of 158,644 is 2.

Lets's calculate GCF of 158,644

Greatest Common Factor (GCF) of 158,644 By Common Division

2 158, 644
79, 322

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

Greatest Common Factor of 158,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,644 By Matching Biggest Common Factor Method

Now, list down the factors of 158

:

1,2,79,158

Now, list down the factors of 644

:

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 158,644 . The biggest common factor number is the GCF number.
So the greatest common factor 158,644 is 2.

Lets's calculate LCM of 78,493

Lowest Common Multiple of 78,493 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 38454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38454

Therefore, the GCF of Fractions 158/78,644/493 is 2/38454

Least Common Multiple of 78,493 with GCF Formula

Least Common Multiple of 78,493 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 78,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,493) = 1

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

GCF(78,493) x common factors =1 x 1 = 1

LCM(78,493) = ( 78 × 493 ) / 1

LCM(78,493) = 38454 / 1

LCM(78,493) = 38454


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FAQs on GCF of Fractions of 158/78, 644/493

1. What is the HCF of 158,644?

The HCF of 158,644 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 158/78, 644/493?

Answer: GCF of Numerators as per given numbers 158/78, 644/493 is

GCF of Numerators i.e. for 158,644 is 2

LCM of denominators i.e. for 78,493 is 38454.

Thus, GCF of Fractions is 2/38454.Finally, GCF of Fractions for 158/78, 644/493 is 2/38454.