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GCF of 9281/961, 9589/1674

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 9281/961, 9589/1674 i.e 1/51894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9281/961, 9589/1674.

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 9281/961,9589/1674?

Given fractions are 9281/961,9589/1674

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 9281/961,9589/1674, numerators are 9281,9589

Denominators are 961,1674

The GCF of 9281,9589 is 1 .

LCM of 961,1674 is 51894.

The greatest common factor of 9281/961,9589/1674 = [GCF of 9281,9589]/[LCM of 961,1674]= 1/51894

Therefore, the GCF of 9281/961,9589/1674 is 1/51894.

Greatest Common Factor of 9281,9589

To find the highest common factor of 9281,9589, we have to find the factors of both numbers and list the highest common factor.

The factors of 9281 are 1, 9281

The factors of 9589 are 1, 43, 223, 9589

The HCF of 9281,9589 is 1.

Lets's calculate GCF of 9281,9589

Greatest Common Factor (GCF) of 9281,9589 By Common Division

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

Greatest Common Factor of 9281,9589 By Matching Biggest Common Factor Method

Greatest Common Factor of 9281,9589 By Matching Biggest Common Factor Method

Now, list down the factors of 9281

:

1,9281

Now, list down the factors of 9589

:

1,43,223,9589

Greatest Common Factor

We found the factors 9281,9589 . The biggest common factor number is the GCF number.
So the greatest common factor 9281,9589 is 1.

Lets's calculate LCM of 961,1674

Lowest Common Multiple of 961,1674 using Common Division

31 961, 1674
31, 54

∴ So the LCM of the given numbers is 31 x 31 x 54 = 51894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51894

Therefore, the GCF of Fractions 9281/961,9589/1674 is 1/51894

Least Common Multiple of 961,1674 with GCF Formula

Least Common Multiple of 961,1674 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 961,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,1674) = 31

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

GCF(961,1674) x common factors =31 x 1 = 31

LCM(961,1674) = ( 961 × 1674 ) / 31

LCM(961,1674) = 1608714 / 31

LCM(961,1674) = 51894


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FAQs on GCF of Fractions of 9281/961, 9589/1674

1. What is the HCF of 9281,9589?

The HCF of 9281,9589 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 9281/961, 9589/1674?

Answer: GCF of Numerators as per given numbers 9281/961, 9589/1674 is

GCF of Numerators i.e. for 9281,9589 is 1

LCM of denominators i.e. for 961,1674 is 51894.

Thus, GCF of Fractions is 1/51894.Finally, GCF of Fractions for 9281/961, 9589/1674 is 1/51894.