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GCF of 844/604, 130/564

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 844/604, 130/564 i.e 2/85164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/604, 130/564.

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 844/604,130/564?

Given fractions are 844/604,130/564

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 844/604,130/564, numerators are 844,130

Denominators are 604,564

The GCF of 844,130 is 2 .

LCM of 604,564 is 85164.

The greatest common factor of 844/604,130/564 = [GCF of 844,130]/[LCM of 604,564]= 2/85164

Therefore, the GCF of 844/604,130/564 is 2/85164.

Greatest Common Factor of 844,130

To find the highest common factor of 844,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 844 are 1, 2, 4, 211, 422, 844

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

The HCF of 844,130 is 2.

Lets's calculate GCF of 844,130

Greatest Common Factor (GCF) of 844,130 By Common Division

2 844, 130
422, 65

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 844,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,130 By Matching Biggest Common Factor Method

Now, list down the factors of 844

:

1,2,4,211,422,844

Now, list down the factors of 130

:

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

Greatest Common Factor

We found the factors 844,130 . The biggest common factor number is the GCF number.
So the greatest common factor 844,130 is 2.

Lets's calculate LCM of 604,564

Lowest Common Multiple of 604,564 using Common Division

2 604, 564
2 302, 282
151, 141

∴ So the LCM of the given numbers is 2 x 2 x 151 x 141 = 85164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85164

Therefore, the GCF of Fractions 844/604,130/564 is 2/85164

Least Common Multiple of 604,564 with GCF Formula

Least Common Multiple of 604,564 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 604,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,564) = 4

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

GCF(604,564) x common factors =4 x 1 = 4

LCM(604,564) = ( 604 × 564 ) / 4

LCM(604,564) = 340656 / 4

LCM(604,564) = 85164


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FAQs on GCF of Fractions of 844/604, 130/564

1. What is the HCF of 844,130?

The HCF of 844,130 is 2

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 844/604, 130/564?

Answer: GCF of Numerators as per given numbers 844/604, 130/564 is

GCF of Numerators i.e. for 844,130 is 2

LCM of denominators i.e. for 604,564 is 85164.

Thus, GCF of Fractions is 2/85164.Finally, GCF of Fractions for 844/604, 130/564 is 2/85164.