How to Find GCF of 539/37, 505/94, 363/39?

GCF of 539/37, 505/94, 363/39

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 539/37, 505/94, 363/39 i.e 1/135642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/37, 505/94, 363/39.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 539/37,505/94,363/39?

Given fractions are 539/37,505/94,363/39

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 539/37,505/94,363/39, numerators are 539,505,363

Denominators are 37,94,39

The GCF of 539,505,363 is 1 .

LCM of 37,94,39 is 135642.

The greatest common factor of 539/37,505/94,363/39 = [GCF of 539,505,363]/[LCM of 37,94,39]= 1/135642

Therefore, the GCF of 539/37,505/94,363/39 is 1/135642.

Greatest Common Factor of 539,505,363

To find the highest common factor of 539,505,363, we have to find the factors of both numbers and list the highest common factor.

The factors of 539 are 1, 7, 11, 49, 77, 539

The factors of 505 are 1, 5, 101, 505

The factors of 363 are 1, 3, 11, 33, 121, 363

The HCF of 539,505,363 is 1.

Lets's calculate GCF of 539,505,363

Greatest Common Factor (GCF) of 539,505,363 By Common Division

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

Greatest Common Factor of 539,505,363 By Matching Biggest Common Factor Method

Now, list down the factors of 539

1,7,11,49,77,539

Now, list down the factors of 505

1,5,101,505

Now, list down the factors of 363

1,3,11,33,121,363

Greatest Common Factor

We found the factors 539,505,363 . The biggest common factor number is the GCF number.
So the greatest common factor 539,505,363 is 1.

Lets's calculate LCM of 37,94,39

Lowest Common Multiple of 37,94,39 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 135642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135642

Therefore, the GCF of Fractions 539/37,505/94,363/39 is 1/135642

Least Common Multiple of 37,94,39 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 37,94,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,94,39) = 1

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

GCF(37,94,39) x common factors =1 x 1 = 1

LCM(37,94,39) = ( 37 × 94 × 39 ) / 1

LCM(37,94,39) = 135642 / 1

LCM(37,94,39) = 135642

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FAQs on GCF of Fractions of 539/37, 505/94, 363/39

1. What is the HCF of 539,505,363?

The HCF of 539,505,363 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 539/37, 505/94, 363/39?

Answer: GCF of Numerators as per given numbers 539/37, 505/94, 363/39 is

GCF of Numerators i.e. for 539,505,363 is 1

LCM of denominators i.e. for 37,94,39 is 135642.

Thus, GCF of Fractions is 1/135642.Finally, GCF of Fractions for 539/37, 505/94, 363/39 is 1/135642.