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GCF of 130/82, 457/2150

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 130/82, 457/2150 i.e 1/88150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/82, 457/2150.

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 130/82,457/2150?

Given fractions are 130/82,457/2150

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 130/82,457/2150, numerators are 130,457

Denominators are 82,2150

The GCF of 130,457 is 1 .

LCM of 82,2150 is 88150.

The greatest common factor of 130/82,457/2150 = [GCF of 130,457]/[LCM of 82,2150]= 1/88150

Therefore, the GCF of 130/82,457/2150 is 1/88150.

Greatest Common Factor of 130,457

To find the highest common factor of 130,457, we have to find the factors of both numbers and list the highest common factor.

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The factors of 457 are 1, 457

The HCF of 130,457 is 1.

Lets's calculate GCF of 130,457

Greatest Common Factor (GCF) of 130,457 By Common Division

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

Greatest Common Factor of 130,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,457 By Matching Biggest Common Factor Method

Now, list down the factors of 130

:

1,2,5,10,13,26,65,130

Now, list down the factors of 457

:

1,457

Greatest Common Factor

We found the factors 130,457 . The biggest common factor number is the GCF number.
So the greatest common factor 130,457 is 1.

Lets's calculate LCM of 82,2150

Lowest Common Multiple of 82,2150 using Common Division

2 82, 2150
41, 1075

∴ So the LCM of the given numbers is 2 x 41 x 1075 = 88150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88150

Therefore, the GCF of Fractions 130/82,457/2150 is 1/88150

Least Common Multiple of 82,2150 with GCF Formula

Least Common Multiple of 82,2150 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 82,2150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,2150) = 2

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

GCF(82,2150) x common factors =2 x 1 = 2

LCM(82,2150) = ( 82 × 2150 ) / 2

LCM(82,2150) = 176300 / 2

LCM(82,2150) = 88150


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FAQs on GCF of Fractions of 130/82, 457/2150

1. What is the HCF of 130,457?

The HCF of 130,457 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 130/82, 457/2150?

Answer: GCF of Numerators as per given numbers 130/82, 457/2150 is

GCF of Numerators i.e. for 130,457 is 1

LCM of denominators i.e. for 82,2150 is 88150.

Thus, GCF of Fractions is 1/88150.Finally, GCF of Fractions for 130/82, 457/2150 is 1/88150.