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GCF of 461/222, 636/376

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 461/222, 636/376 i.e 1/41736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/222, 636/376.

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 461/222,636/376?

Given fractions are 461/222,636/376

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 461/222,636/376, numerators are 461,636

Denominators are 222,376

The GCF of 461,636 is 1 .

LCM of 222,376 is 41736.

The greatest common factor of 461/222,636/376 = [GCF of 461,636]/[LCM of 222,376]= 1/41736

Therefore, the GCF of 461/222,636/376 is 1/41736.

Greatest Common Factor of 461,636

To find the highest common factor of 461,636, we have to find the factors of both numbers and list the highest common factor.

The factors of 461 are 1, 461

The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

The HCF of 461,636 is 1.

Lets's calculate GCF of 461,636

Greatest Common Factor (GCF) of 461,636 By Common Division

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

Greatest Common Factor of 461,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,636 By Matching Biggest Common Factor Method

Now, list down the factors of 461

:

1,461

Now, list down the factors of 636

:

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 461,636 . The biggest common factor number is the GCF number.
So the greatest common factor 461,636 is 1.

Lets's calculate LCM of 222,376

Lowest Common Multiple of 222,376 using Common Division

2 222, 376
111, 188

∴ So the LCM of the given numbers is 2 x 111 x 188 = 41736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41736

Therefore, the GCF of Fractions 461/222,636/376 is 1/41736

Least Common Multiple of 222,376 with GCF Formula

Least Common Multiple of 222,376 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 222,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,376) = 2

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

GCF(222,376) x common factors =2 x 1 = 2

LCM(222,376) = ( 222 × 376 ) / 2

LCM(222,376) = 83472 / 2

LCM(222,376) = 41736


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FAQs on GCF of Fractions of 461/222, 636/376

1. What is the HCF of 461,636?

The HCF of 461,636 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 461/222, 636/376?

Answer: GCF of Numerators as per given numbers 461/222, 636/376 is

GCF of Numerators i.e. for 461,636 is 1

LCM of denominators i.e. for 222,376 is 41736.

Thus, GCF of Fractions is 1/41736.Finally, GCF of Fractions for 461/222, 636/376 is 1/41736.