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GCF of 135/87, 647/3195

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 135/87, 647/3195 i.e 1/92655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/87, 647/3195.

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 135/87,647/3195?

Given fractions are 135/87,647/3195

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 135/87,647/3195, numerators are 135,647

Denominators are 87,3195

The GCF of 135,647 is 1 .

LCM of 87,3195 is 92655.

The greatest common factor of 135/87,647/3195 = [GCF of 135,647]/[LCM of 87,3195]= 1/92655

Therefore, the GCF of 135/87,647/3195 is 1/92655.

Greatest Common Factor of 135,647

To find the highest common factor of 135,647, we have to find the factors of both numbers and list the highest common factor.

The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135

The factors of 647 are 1, 647

The HCF of 135,647 is 1.

Lets's calculate GCF of 135,647

Greatest Common Factor (GCF) of 135,647 By Common Division

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

Greatest Common Factor of 135,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,647 By Matching Biggest Common Factor Method

Now, list down the factors of 135

:

1,3,5,9,15,27,45,135

Now, list down the factors of 647

:

1,647

Greatest Common Factor

We found the factors 135,647 . The biggest common factor number is the GCF number.
So the greatest common factor 135,647 is 1.

Lets's calculate LCM of 87,3195

Lowest Common Multiple of 87,3195 using Common Division

3 87, 3195
29, 1065

∴ So the LCM of the given numbers is 3 x 29 x 1065 = 92655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92655

Therefore, the GCF of Fractions 135/87,647/3195 is 1/92655

Least Common Multiple of 87,3195 with GCF Formula

Least Common Multiple of 87,3195 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 87,3195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3195) = 3

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

GCF(87,3195) x common factors =3 x 1 = 3

LCM(87,3195) = ( 87 × 3195 ) / 3

LCM(87,3195) = 277965 / 3

LCM(87,3195) = 92655


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FAQs on GCF of Fractions of 135/87, 647/3195

1. What is the HCF of 135,647?

The HCF of 135,647 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 135/87, 647/3195?

Answer: GCF of Numerators as per given numbers 135/87, 647/3195 is

GCF of Numerators i.e. for 135,647 is 1

LCM of denominators i.e. for 87,3195 is 92655.

Thus, GCF of Fractions is 1/92655.Finally, GCF of Fractions for 135/87, 647/3195 is 1/92655.