Greatest Common Factor of 5787/762, 4590/3587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5787/762, 4590/3587

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 5787/762,4590/3587

Given fractions are 5787/762,4590/3587

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 5787,4590

Greatest Common Factor of Numerators i.e. GCF of 5787,4590 is 9 .

LCM of Denominators means LCM of 762,3587 as per the given fractions.

LCM of 762,3587 is 2733294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5787,4590

GCF of Fractions 5787/762,4590/3587 is 9/2733294

3 5787, 4590
3 1929, 1530
643, 510

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5787,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 5787,4590 By Matching Biggest Common Factor Method

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 5787,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 5787,4590 is 9.

Lets's calculate LCM of 762,3587

Given numbers has no common factors except 1. So, there LCM is their product i.e 2733294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2733294

Therefore, the GCF of Fractions 5787/762,4590/3587 is 9/2733294

Least Common Multiple of 762,3587 with GCF Formula

Least Common Multiple of 762,3587 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 762,3587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,3587) = 1

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

GCF(762,3587) x common factors =1 x 1 = 1

LCM(762,3587) = ( 762 × 3587 ) / 1

LCM(762,3587) = 2733294 / 1

LCM(762,3587) = 2733294


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 5787/762, 4590/3587

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 5787/762, 4590/3587?

Answer: GCF of Numerators as per given numbers 5787/762, 4590/3587 is

GCF of Numerators i.e. for 5787,4590 is 9

LCM of denominators i.e. for 762,3587 is 2733294.

Thus, GCF of Fractions is 9/2733294.Finally, GCF of Fractions for 5787/762, 4590/3587 is 9/2733294.