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GCF of 537/661, 118/594

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 537/661, 118/594 i.e 1/392634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/661, 118/594.

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 537/661,118/594?

Given fractions are 537/661,118/594

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 537/661,118/594, numerators are 537,118

Denominators are 661,594

The GCF of 537,118 is 1 .

LCM of 661,594 is 392634.

The greatest common factor of 537/661,118/594 = [GCF of 537,118]/[LCM of 661,594]= 1/392634

Therefore, the GCF of 537/661,118/594 is 1/392634.

Greatest Common Factor of 537,118

To find the highest common factor of 537,118, we have to find the factors of both numbers and list the highest common factor.

The factors of 537 are 1, 3, 179, 537

The factors of 118 are 1, 2, 59, 118

The HCF of 537,118 is 1.

Lets's calculate GCF of 537,118

Greatest Common Factor (GCF) of 537,118 By Common Division

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

Greatest Common Factor of 537,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,118 By Matching Biggest Common Factor Method

Now, list down the factors of 537

:

1,3,179,537

Now, list down the factors of 118

:

1,2,59,118

Greatest Common Factor

We found the factors 537,118 . The biggest common factor number is the GCF number.
So the greatest common factor 537,118 is 1.

Lets's calculate LCM of 661,594

Lowest Common Multiple of 661,594 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 392634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392634

Therefore, the GCF of Fractions 537/661,118/594 is 1/392634

Least Common Multiple of 661,594 with GCF Formula

Least Common Multiple of 661,594 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 661,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,594) = 1

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

GCF(661,594) x common factors =1 x 1 = 1

LCM(661,594) = ( 661 × 594 ) / 1

LCM(661,594) = 392634 / 1

LCM(661,594) = 392634


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FAQs on GCF of Fractions of 537/661, 118/594

1. What is the HCF of 537,118?

The HCF of 537,118 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 537/661, 118/594?

Answer: GCF of Numerators as per given numbers 537/661, 118/594 is

GCF of Numerators i.e. for 537,118 is 1

LCM of denominators i.e. for 661,594 is 392634.

Thus, GCF of Fractions is 1/392634.Finally, GCF of Fractions for 537/661, 118/594 is 1/392634.