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GCF of 130/572, 442/948

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 130/572, 442/948 i.e 26/135564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/572, 442/948.

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 130/572,442/948?

Given fractions are 130/572,442/948

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 130/572,442/948, numerators are 130,442

Denominators are 572,948

The GCF of 130,442 is 26 .

LCM of 572,948 is 135564.

The greatest common factor of 130/572,442/948 = [GCF of 130,442]/[LCM of 572,948]= 26/135564

Therefore, the GCF of 130/572,442/948 is 26/135564.

Greatest Common Factor of 130,442

To find the highest common factor of 130,442, 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 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 130,442 is 26.

Lets's calculate GCF of 130,442

Greatest Common Factor (GCF) of 130,442 By Common Division

2 130, 442
13 65, 221
5, 17

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 130,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,442 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 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 130,442 . The biggest common factor number is the GCF number.
So the greatest common factor 130,442 is 26.

Lets's calculate LCM of 572,948

Lowest Common Multiple of 572,948 using Common Division

2 572, 948
2 286, 474
143, 237

∴ So the LCM of the given numbers is 2 x 2 x 143 x 237 = 135564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/135564

Therefore, the GCF of Fractions 130/572,442/948 is 26/135564

Least Common Multiple of 572,948 with GCF Formula

Least Common Multiple of 572,948 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 572,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,948) = 4

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

GCF(572,948) x common factors =4 x 1 = 4

LCM(572,948) = ( 572 × 948 ) / 4

LCM(572,948) = 542256 / 4

LCM(572,948) = 135564


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FAQs on GCF of Fractions of 130/572, 442/948

1. What is the HCF of 130,442?

The HCF of 130,442 is 26

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 130/572, 442/948?

Answer: GCF of Numerators as per given numbers 130/572, 442/948 is

GCF of Numerators i.e. for 130,442 is 26

LCM of denominators i.e. for 572,948 is 135564.

Thus, GCF of Fractions is 26/135564.Finally, GCF of Fractions for 130/572, 442/948 is 26/135564.