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GCF of 8981/605, 1621/1937

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 8981/605, 1621/1937 i.e 1/1171885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8981/605, 1621/1937.

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 8981/605,1621/1937?

Given fractions are 8981/605,1621/1937

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 8981/605,1621/1937, numerators are 8981,1621

Denominators are 605,1937

The GCF of 8981,1621 is 1 .

LCM of 605,1937 is 1171885.

The greatest common factor of 8981/605,1621/1937 = [GCF of 8981,1621]/[LCM of 605,1937]= 1/1171885

Therefore, the GCF of 8981/605,1621/1937 is 1/1171885.

Greatest Common Factor of 8981,1621

To find the highest common factor of 8981,1621, we have to find the factors of both numbers and list the highest common factor.

The factors of 8981 are 1, 7, 1283, 8981

The factors of 1621 are 1, 1621

The HCF of 8981,1621 is 1.

Lets's calculate GCF of 8981,1621

Greatest Common Factor (GCF) of 8981,1621 By Common Division

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

Greatest Common Factor of 8981,1621 By Matching Biggest Common Factor Method

Greatest Common Factor of 8981,1621 By Matching Biggest Common Factor Method

Now, list down the factors of 8981

:

1,7,1283,8981

Now, list down the factors of 1621

:

1,1621

Greatest Common Factor

We found the factors 8981,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,1621 is 1.

Lets's calculate LCM of 605,1937

Lowest Common Multiple of 605,1937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1171885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1171885

Therefore, the GCF of Fractions 8981/605,1621/1937 is 1/1171885

Least Common Multiple of 605,1937 with GCF Formula

Least Common Multiple of 605,1937 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 605,1937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,1937) = 1

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

GCF(605,1937) x common factors =1 x 1 = 1

LCM(605,1937) = ( 605 × 1937 ) / 1

LCM(605,1937) = 1171885 / 1

LCM(605,1937) = 1171885


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FAQs on GCF of Fractions of 8981/605, 1621/1937

1. What is the HCF of 8981,1621?

The HCF of 8981,1621 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 8981/605, 1621/1937?

Answer: GCF of Numerators as per given numbers 8981/605, 1621/1937 is

GCF of Numerators i.e. for 8981,1621 is 1

LCM of denominators i.e. for 605,1937 is 1171885.

Thus, GCF of Fractions is 1/1171885.Finally, GCF of Fractions for 8981/605, 1621/1937 is 1/1171885.