Greatest Common Factor of 780/46, 180/5205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/46, 180/5205

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 780/46,180/5205

Given fractions are 780/46,180/5205

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 780,180

Greatest Common Factor of Numerators i.e. GCF of 780,180 is 60 .

LCM of Denominators means LCM of 46,5205 as per the given fractions.

LCM of 46,5205 is 239430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,180

GCF of Fractions 780/46,180/5205 is 60/239430

2 780, 180
2 390, 90
3 195, 45
5 65, 15
13, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 780,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,180 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 780,180 . The biggest common factor number is the GCF number.
So the greatest common factor 780,180 is 60.

Lets's calculate LCM of 46,5205

Given numbers has no common factors except 1. So, there LCM is their product i.e 239430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/239430

Therefore, the GCF of Fractions 780/46,180/5205 is 60/239430

Least Common Multiple of 46,5205 with GCF Formula

Least Common Multiple of 46,5205 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 46,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,5205) = 1

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

GCF(46,5205) x common factors =1 x 1 = 1

LCM(46,5205) = ( 46 × 5205 ) / 1

LCM(46,5205) = 239430 / 1

LCM(46,5205) = 239430


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 780/46, 180/5205

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 780/46, 180/5205?

Answer: GCF of Numerators as per given numbers 780/46, 180/5205 is

GCF of Numerators i.e. for 780,180 is 60

LCM of denominators i.e. for 46,5205 is 239430.

Thus, GCF of Fractions is 60/239430.Finally, GCF of Fractions for 780/46, 180/5205 is 60/239430.