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GCF of 494/875, 130/219

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 494/875, 130/219 i.e 26/191625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/875, 130/219.

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 494/875,130/219?

Given fractions are 494/875,130/219

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 494/875,130/219, numerators are 494,130

Denominators are 875,219

The GCF of 494,130 is 26 .

LCM of 875,219 is 191625.

The greatest common factor of 494/875,130/219 = [GCF of 494,130]/[LCM of 875,219]= 26/191625

Therefore, the GCF of 494/875,130/219 is 26/191625.

Greatest Common Factor of 494,130

To find the highest common factor of 494,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

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

The HCF of 494,130 is 26.

Lets's calculate GCF of 494,130

Greatest Common Factor (GCF) of 494,130 By Common Division

2 494, 130
13 247, 65
19, 5

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

Greatest Common Factor of 494,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,130 By Matching Biggest Common Factor Method

Now, list down the factors of 494

:

1,2,13,19,26,38,247,494

Now, list down the factors of 130

:

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

Greatest Common Factor

We found the factors 494,130 . The biggest common factor number is the GCF number.
So the greatest common factor 494,130 is 26.

Lets's calculate LCM of 875,219

Lowest Common Multiple of 875,219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 191625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/191625

Therefore, the GCF of Fractions 494/875,130/219 is 26/191625

Least Common Multiple of 875,219 with GCF Formula

Least Common Multiple of 875,219 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 875,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,219) = 1

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

GCF(875,219) x common factors =1 x 1 = 1

LCM(875,219) = ( 875 × 219 ) / 1

LCM(875,219) = 191625 / 1

LCM(875,219) = 191625


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FAQs on GCF of Fractions of 494/875, 130/219

1. What is the HCF of 494,130?

The HCF of 494,130 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 494/875, 130/219?

Answer: GCF of Numerators as per given numbers 494/875, 130/219 is

GCF of Numerators i.e. for 494,130 is 26

LCM of denominators i.e. for 875,219 is 191625.

Thus, GCF of Fractions is 26/191625.Finally, GCF of Fractions for 494/875, 130/219 is 26/191625.