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GCF of 474/316, 241/312

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 474/316, 241/312 i.e 1/24648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 474/316, 241/312.

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 474/316,241/312?

Given fractions are 474/316,241/312

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 474/316,241/312, numerators are 474,241

Denominators are 316,312

The GCF of 474,241 is 1 .

LCM of 316,312 is 24648.

The greatest common factor of 474/316,241/312 = [GCF of 474,241]/[LCM of 316,312]= 1/24648

Therefore, the GCF of 474/316,241/312 is 1/24648.

Greatest Common Factor of 474,241

To find the highest common factor of 474,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474

The factors of 241 are 1, 241

The HCF of 474,241 is 1.

Lets's calculate GCF of 474,241

Greatest Common Factor (GCF) of 474,241 By Common Division

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

Greatest Common Factor of 474,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,241 By Matching Biggest Common Factor Method

Now, list down the factors of 474

:

1,2,3,6,79,158,237,474

Now, list down the factors of 241

:

1,241

Greatest Common Factor

We found the factors 474,241 . The biggest common factor number is the GCF number.
So the greatest common factor 474,241 is 1.

Lets's calculate LCM of 316,312

Lowest Common Multiple of 316,312 using Common Division

2 316, 312
2 158, 156
79, 78

∴ So the LCM of the given numbers is 2 x 2 x 79 x 78 = 24648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24648

Therefore, the GCF of Fractions 474/316,241/312 is 1/24648

Least Common Multiple of 316,312 with GCF Formula

Least Common Multiple of 316,312 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 316,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,312) = 4

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

GCF(316,312) x common factors =4 x 1 = 4

LCM(316,312) = ( 316 × 312 ) / 4

LCM(316,312) = 98592 / 4

LCM(316,312) = 24648


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FAQs on GCF of Fractions of 474/316, 241/312

1. What is the HCF of 474,241?

The HCF of 474,241 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 474/316, 241/312?

Answer: GCF of Numerators as per given numbers 474/316, 241/312 is

GCF of Numerators i.e. for 474,241 is 1

LCM of denominators i.e. for 316,312 is 24648.

Thus, GCF of Fractions is 1/24648.Finally, GCF of Fractions for 474/316, 241/312 is 1/24648.