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GCF of 137/87, 510/2076

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 137/87, 510/2076 i.e 1/60204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/87, 510/2076.

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 137/87,510/2076?

Given fractions are 137/87,510/2076

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 137/87,510/2076, numerators are 137,510

Denominators are 87,2076

The GCF of 137,510 is 1 .

LCM of 87,2076 is 60204.

The greatest common factor of 137/87,510/2076 = [GCF of 137,510]/[LCM of 87,2076]= 1/60204

Therefore, the GCF of 137/87,510/2076 is 1/60204.

Greatest Common Factor of 137,510

To find the highest common factor of 137,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 137 are 1, 137

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 137,510 is 1.

Lets's calculate GCF of 137,510

Greatest Common Factor (GCF) of 137,510 By Common Division

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

Greatest Common Factor of 137,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,510 By Matching Biggest Common Factor Method

Now, list down the factors of 137

:

1,137

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 137,510 . The biggest common factor number is the GCF number.
So the greatest common factor 137,510 is 1.

Lets's calculate LCM of 87,2076

Lowest Common Multiple of 87,2076 using Common Division

3 87, 2076
29, 692

∴ So the LCM of the given numbers is 3 x 29 x 692 = 60204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60204

Therefore, the GCF of Fractions 137/87,510/2076 is 1/60204

Least Common Multiple of 87,2076 with GCF Formula

Least Common Multiple of 87,2076 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 87,2076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,2076) = 3

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

GCF(87,2076) x common factors =3 x 1 = 3

LCM(87,2076) = ( 87 × 2076 ) / 3

LCM(87,2076) = 180612 / 3

LCM(87,2076) = 60204


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FAQs on GCF of Fractions of 137/87, 510/2076

1. What is the HCF of 137,510?

The HCF of 137,510 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 137/87, 510/2076?

Answer: GCF of Numerators as per given numbers 137/87, 510/2076 is

GCF of Numerators i.e. for 137,510 is 1

LCM of denominators i.e. for 87,2076 is 60204.

Thus, GCF of Fractions is 1/60204.Finally, GCF of Fractions for 137/87, 510/2076 is 1/60204.