Greatest Common Factor of 804/436, 1860/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/436, 1860/488

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 804/436,1860/488

Given fractions are 804/436,1860/488

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 804,1860

Greatest Common Factor of Numerators i.e. GCF of 804,1860 is 12 .

LCM of Denominators means LCM of 436,488 as per the given fractions.

LCM of 436,488 is 53192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,1860

GCF of Fractions 804/436,1860/488 is 12/53192

2 804, 1860
2 402, 930
3 201, 465
67, 155

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 804,1860 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,1860 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 1860

List of positive integer factors of 1860 that divides 1860 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860

Greatest Common Factor

We found the factors 804,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 804,1860 is 12.

Lets's calculate LCM of 436,488

2 436, 488
2 218, 244
109, 122

∴ So the LCM of the given numbers is 2 x 2 x 109 x 122 = 53192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/53192

Therefore, the GCF of Fractions 804/436,1860/488 is 12/53192

Least Common Multiple of 436,488 with GCF Formula

Least Common Multiple of 436,488 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 436,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,488) = 4

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

GCF(436,488) x common factors =4 x 1 = 4

LCM(436,488) = ( 436 × 488 ) / 4

LCM(436,488) = 212768 / 4

LCM(436,488) = 53192


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 804/436, 1860/488

1. 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.

2. What is the GCF of Fractions for 804/436, 1860/488?

Answer: GCF of Numerators as per given numbers 804/436, 1860/488 is

GCF of Numerators i.e. for 804,1860 is 12

LCM of denominators i.e. for 436,488 is 53192.

Thus, GCF of Fractions is 12/53192.Finally, GCF of Fractions for 804/436, 1860/488 is 12/53192.