Greatest Common Factor of 3720/788, 5189/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3720/788, 5189/585

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 3720/788,5189/585

Given fractions are 3720/788,5189/585

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 3720,5189

Greatest Common Factor of Numerators i.e. GCF of 3720,5189 is 1 .

LCM of Denominators means LCM of 788,585 as per the given fractions.

LCM of 788,585 is 460980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3720,5189

GCF of Fractions 3720/788,5189/585 is 1/460980

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3720,5189 By Matching Biggest Common Factor Method

Greatest Common Factor of 3720,5189 By Matching Biggest Common Factor Method

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720

Factors of 5189

List of positive integer factors of 5189 that divides 5189 without a remainder.

1,5189

Greatest Common Factor

We found the factors 3720,5189 . The biggest common factor number is the GCF number.
So the greatest common factor 3720,5189 is 1.

Lets's calculate LCM of 788,585

Given numbers has no common factors except 1. So, there LCM is their product i.e 460980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460980

Therefore, the GCF of Fractions 3720/788,5189/585 is 1/460980

Least Common Multiple of 788,585 with GCF Formula

Least Common Multiple of 788,585 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 788,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,585) = 1

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

GCF(788,585) x common factors =1 x 1 = 1

LCM(788,585) = ( 788 × 585 ) / 1

LCM(788,585) = 460980 / 1

LCM(788,585) = 460980


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3720/788, 5189/585

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 3720/788, 5189/585?

Answer: GCF of Numerators as per given numbers 3720/788, 5189/585 is

GCF of Numerators i.e. for 3720,5189 is 1

LCM of denominators i.e. for 788,585 is 460980.

Thus, GCF of Fractions is 1/460980.Finally, GCF of Fractions for 3720/788, 5189/585 is 1/460980.