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GCF of 476/164, 241/147

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 476/164, 241/147 i.e 1/24108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/164, 241/147.

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 476/164,241/147?

Given fractions are 476/164,241/147

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 476/164,241/147, numerators are 476,241

Denominators are 164,147

The GCF of 476,241 is 1 .

LCM of 164,147 is 24108.

The greatest common factor of 476/164,241/147 = [GCF of 476,241]/[LCM of 164,147]= 1/24108

Therefore, the GCF of 476/164,241/147 is 1/24108.

Greatest Common Factor of 476,241

To find the highest common factor of 476,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

The factors of 241 are 1, 241

The HCF of 476,241 is 1.

Lets's calculate GCF of 476,241

Greatest Common Factor (GCF) of 476,241 By Common Division

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

Greatest Common Factor of 476,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,241 By Matching Biggest Common Factor Method

Now, list down the factors of 476

:

1,2,4,7,14,17,28,34,68,119,238,476

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 476,241 . The biggest common factor number is the GCF number.
So the greatest common factor 476,241 is 1.

Lets's calculate LCM of 164,147

Lowest Common Multiple of 164,147 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 24108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24108

Therefore, the GCF of Fractions 476/164,241/147 is 1/24108

Least Common Multiple of 164,147 with GCF Formula

Least Common Multiple of 164,147 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 164,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,147) = 1

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

GCF(164,147) x common factors =1 x 1 = 1

LCM(164,147) = ( 164 × 147 ) / 1

LCM(164,147) = 24108 / 1

LCM(164,147) = 24108


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FAQs on GCF of Fractions of 476/164, 241/147

1. What is the HCF of 476,241?

The HCF of 476,241 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 476/164, 241/147?

Answer: GCF of Numerators as per given numbers 476/164, 241/147 is

GCF of Numerators i.e. for 476,241 is 1

LCM of denominators i.e. for 164,147 is 24108.

Thus, GCF of Fractions is 1/24108.Finally, GCF of Fractions for 476/164, 241/147 is 1/24108.