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GCF of 631/275, 609/231

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 631/275, 609/231 i.e 1/5775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/275, 609/231.

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 631/275,609/231?

Given fractions are 631/275,609/231

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 631/275,609/231, numerators are 631,609

Denominators are 275,231

The GCF of 631,609 is 1 .

LCM of 275,231 is 5775.

The greatest common factor of 631/275,609/231 = [GCF of 631,609]/[LCM of 275,231]= 1/5775

Therefore, the GCF of 631/275,609/231 is 1/5775.

Greatest Common Factor of 631,609

To find the highest common factor of 631,609, we have to find the factors of both numbers and list the highest common factor.

The factors of 631 are 1, 631

The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609

The HCF of 631,609 is 1.

Lets's calculate GCF of 631,609

Greatest Common Factor (GCF) of 631,609 By Common Division

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

Greatest Common Factor of 631,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,609 By Matching Biggest Common Factor Method

Now, list down the factors of 631

:

1,631

Now, list down the factors of 609

:

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 631,609 . The biggest common factor number is the GCF number.
So the greatest common factor 631,609 is 1.

Lets's calculate LCM of 275,231

Lowest Common Multiple of 275,231 using Common Division

11 275, 231
25, 21

∴ So the LCM of the given numbers is 11 x 25 x 21 = 5775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5775

Therefore, the GCF of Fractions 631/275,609/231 is 1/5775

Least Common Multiple of 275,231 with GCF Formula

Least Common Multiple of 275,231 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 275,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,231) = 11

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

GCF(275,231) x common factors =11 x 1 = 11

LCM(275,231) = ( 275 × 231 ) / 11

LCM(275,231) = 63525 / 11

LCM(275,231) = 5775


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FAQs on GCF of Fractions of 631/275, 609/231

1. What is the HCF of 631,609?

The HCF of 631,609 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 631/275, 609/231?

Answer: GCF of Numerators as per given numbers 631/275, 609/231 is

GCF of Numerators i.e. for 631,609 is 1

LCM of denominators i.e. for 275,231 is 5775.

Thus, GCF of Fractions is 1/5775.Finally, GCF of Fractions for 631/275, 609/231 is 1/5775.