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GCF of 940/469, 130/808

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 940/469, 130/808 i.e 10/378952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/469, 130/808.

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 940/469,130/808?

Given fractions are 940/469,130/808

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 940/469,130/808, numerators are 940,130

Denominators are 469,808

The GCF of 940,130 is 10 .

LCM of 469,808 is 378952.

The greatest common factor of 940/469,130/808 = [GCF of 940,130]/[LCM of 469,808]= 10/378952

Therefore, the GCF of 940/469,130/808 is 10/378952.

Greatest Common Factor of 940,130

To find the highest common factor of 940,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

The HCF of 940,130 is 10.

Lets's calculate GCF of 940,130

Greatest Common Factor (GCF) of 940,130 By Common Division

2 940, 130
5 470, 65
94, 13

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 940,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,130 By Matching Biggest Common Factor Method

Now, list down the factors of 940

:

1,2,4,5,10,20,47,94,188,235,470,940

Now, list down the factors of 130

:

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

Greatest Common Factor

We found the factors 940,130 . The biggest common factor number is the GCF number.
So the greatest common factor 940,130 is 10.

Lets's calculate LCM of 469,808

Lowest Common Multiple of 469,808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 378952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/378952

Therefore, the GCF of Fractions 940/469,130/808 is 10/378952

Least Common Multiple of 469,808 with GCF Formula

Least Common Multiple of 469,808 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 469,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,808) = 1

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

GCF(469,808) x common factors =1 x 1 = 1

LCM(469,808) = ( 469 × 808 ) / 1

LCM(469,808) = 378952 / 1

LCM(469,808) = 378952


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FAQs on GCF of Fractions of 940/469, 130/808

1. What is the HCF of 940,130?

The HCF of 940,130 is 10

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 940/469, 130/808?

Answer: GCF of Numerators as per given numbers 940/469, 130/808 is

GCF of Numerators i.e. for 940,130 is 10

LCM of denominators i.e. for 469,808 is 378952.

Thus, GCF of Fractions is 10/378952.Finally, GCF of Fractions for 940/469, 130/808 is 10/378952.