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GCF of 461/660, 9013/675

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 461/660, 9013/675 i.e 1/29700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/660, 9013/675.

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 461/660,9013/675?

Given fractions are 461/660,9013/675

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 461/660,9013/675, numerators are 461,9013

Denominators are 660,675

The GCF of 461,9013 is 1 .

LCM of 660,675 is 29700.

The greatest common factor of 461/660,9013/675 = [GCF of 461,9013]/[LCM of 660,675]= 1/29700

Therefore, the GCF of 461/660,9013/675 is 1/29700.

Greatest Common Factor of 461,9013

To find the highest common factor of 461,9013, 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 9013 are 1, 9013

The HCF of 461,9013 is 1.

Lets's calculate GCF of 461,9013

Greatest Common Factor (GCF) of 461,9013 By Common Division

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

Greatest Common Factor of 461,9013 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,9013 By Matching Biggest Common Factor Method

Now, list down the factors of 461

:

1,461

Now, list down the factors of 9013

:

1,9013

Greatest Common Factor

We found the factors 461,9013 . The biggest common factor number is the GCF number.
So the greatest common factor 461,9013 is 1.

Lets's calculate LCM of 660,675

Lowest Common Multiple of 660,675 using Common Division

3 660, 675
5 220, 225
44, 45

∴ So the LCM of the given numbers is 3 x 5 x 44 x 45 = 29700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29700

Therefore, the GCF of Fractions 461/660,9013/675 is 1/29700

Least Common Multiple of 660,675 with GCF Formula

Least Common Multiple of 660,675 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 660,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,675) = 15

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

GCF(660,675) x common factors =15 x 1 = 15

LCM(660,675) = ( 660 × 675 ) / 15

LCM(660,675) = 445500 / 15

LCM(660,675) = 29700


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FAQs on GCF of Fractions of 461/660, 9013/675

1. What is the HCF of 461,9013?

The HCF of 461,9013 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 461/660, 9013/675?

Answer: GCF of Numerators as per given numbers 461/660, 9013/675 is

GCF of Numerators i.e. for 461,9013 is 1

LCM of denominators i.e. for 660,675 is 29700.

Thus, GCF of Fractions is 1/29700.Finally, GCF of Fractions for 461/660, 9013/675 is 1/29700.