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GCF of 2588/661, 3623/607

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 2588/661, 3623/607 i.e 1/401227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2588/661, 3623/607.

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 2588/661,3623/607?

Given fractions are 2588/661,3623/607

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 2588/661,3623/607, numerators are 2588,3623

Denominators are 661,607

The GCF of 2588,3623 is 1 .

LCM of 661,607 is 401227.

The greatest common factor of 2588/661,3623/607 = [GCF of 2588,3623]/[LCM of 661,607]= 1/401227

Therefore, the GCF of 2588/661,3623/607 is 1/401227.

Greatest Common Factor of 2588,3623

To find the highest common factor of 2588,3623, we have to find the factors of both numbers and list the highest common factor.

The factors of 2588 are 1, 2, 4, 647, 1294, 2588

The factors of 3623 are 1, 3623

The HCF of 2588,3623 is 1.

Lets's calculate GCF of 2588,3623

Greatest Common Factor (GCF) of 2588,3623 By Common Division

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

Greatest Common Factor of 2588,3623 By Matching Biggest Common Factor Method

Greatest Common Factor of 2588,3623 By Matching Biggest Common Factor Method

Now, list down the factors of 2588

:

1,2,4,647,1294,2588

Now, list down the factors of 3623

:

1,3623

Greatest Common Factor

We found the factors 2588,3623 . The biggest common factor number is the GCF number.
So the greatest common factor 2588,3623 is 1.

Lets's calculate LCM of 661,607

Lowest Common Multiple of 661,607 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401227

Therefore, the GCF of Fractions 2588/661,3623/607 is 1/401227

Least Common Multiple of 661,607 with GCF Formula

Least Common Multiple of 661,607 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 661,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,607) = 1

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

GCF(661,607) x common factors =1 x 1 = 1

LCM(661,607) = ( 661 × 607 ) / 1

LCM(661,607) = 401227 / 1

LCM(661,607) = 401227


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FAQs on GCF of Fractions of 2588/661, 3623/607

1. What is the HCF of 2588,3623?

The HCF of 2588,3623 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 2588/661, 3623/607?

Answer: GCF of Numerators as per given numbers 2588/661, 3623/607 is

GCF of Numerators i.e. for 2588,3623 is 1

LCM of denominators i.e. for 661,607 is 401227.

Thus, GCF of Fractions is 1/401227.Finally, GCF of Fractions for 2588/661, 3623/607 is 1/401227.