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GCF of 130/66, 501/574

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 130/66, 501/574 i.e 1/18942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/66, 501/574.

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 130/66,501/574?

Given fractions are 130/66,501/574

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 130/66,501/574, numerators are 130,501

Denominators are 66,574

The GCF of 130,501 is 1 .

LCM of 66,574 is 18942.

The greatest common factor of 130/66,501/574 = [GCF of 130,501]/[LCM of 66,574]= 1/18942

Therefore, the GCF of 130/66,501/574 is 1/18942.

Greatest Common Factor of 130,501

To find the highest common factor of 130,501, 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 501 are 1, 3, 167, 501

The HCF of 130,501 is 1.

Lets's calculate GCF of 130,501

Greatest Common Factor (GCF) of 130,501 By Common Division

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

Greatest Common Factor of 130,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,501 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 501

:

1,3,167,501

Greatest Common Factor

We found the factors 130,501 . The biggest common factor number is the GCF number.
So the greatest common factor 130,501 is 1.

Lets's calculate LCM of 66,574

Lowest Common Multiple of 66,574 using Common Division

2 66, 574
33, 287

∴ So the LCM of the given numbers is 2 x 33 x 287 = 18942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18942

Therefore, the GCF of Fractions 130/66,501/574 is 1/18942

Least Common Multiple of 66,574 with GCF Formula

Least Common Multiple of 66,574 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 66,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,574) = 2

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

GCF(66,574) x common factors =2 x 1 = 2

LCM(66,574) = ( 66 × 574 ) / 2

LCM(66,574) = 37884 / 2

LCM(66,574) = 18942


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FAQs on GCF of Fractions of 130/66, 501/574

1. What is the HCF of 130,501?

The HCF of 130,501 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 130/66, 501/574?

Answer: GCF of Numerators as per given numbers 130/66, 501/574 is

GCF of Numerators i.e. for 130,501 is 1

LCM of denominators i.e. for 66,574 is 18942.

Thus, GCF of Fractions is 1/18942.Finally, GCF of Fractions for 130/66, 501/574 is 1/18942.