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GCF of 661/587, 563/478

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 661/587, 563/478 i.e 1/280586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/587, 563/478.

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 661/587,563/478?

Given fractions are 661/587,563/478

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 661/587,563/478, numerators are 661,563

Denominators are 587,478

The GCF of 661,563 is 1 .

LCM of 587,478 is 280586.

The greatest common factor of 661/587,563/478 = [GCF of 661,563]/[LCM of 587,478]= 1/280586

Therefore, the GCF of 661/587,563/478 is 1/280586.

Greatest Common Factor of 661,563

To find the highest common factor of 661,563, we have to find the factors of both numbers and list the highest common factor.

The factors of 661 are 1, 661

The factors of 563 are 1, 563

The HCF of 661,563 is 1.

Lets's calculate GCF of 661,563

Greatest Common Factor (GCF) of 661,563 By Common Division

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

Greatest Common Factor of 661,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,563 By Matching Biggest Common Factor Method

Now, list down the factors of 661

:

1,661

Now, list down the factors of 563

:

1,563

Greatest Common Factor

We found the factors 661,563 . The biggest common factor number is the GCF number.
So the greatest common factor 661,563 is 1.

Lets's calculate LCM of 587,478

Lowest Common Multiple of 587,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 280586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280586

Therefore, the GCF of Fractions 661/587,563/478 is 1/280586

Least Common Multiple of 587,478 with GCF Formula

Least Common Multiple of 587,478 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 587,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,478) = 1

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

GCF(587,478) x common factors =1 x 1 = 1

LCM(587,478) = ( 587 × 478 ) / 1

LCM(587,478) = 280586 / 1

LCM(587,478) = 280586


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FAQs on GCF of Fractions of 661/587, 563/478

1. What is the HCF of 661,563?

The HCF of 661,563 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 661/587, 563/478?

Answer: GCF of Numerators as per given numbers 661/587, 563/478 is

GCF of Numerators i.e. for 661,563 is 1

LCM of denominators i.e. for 587,478 is 280586.

Thus, GCF of Fractions is 1/280586.Finally, GCF of Fractions for 661/587, 563/478 is 1/280586.