Greatest Common Factor of 4668/655, 7023/1610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4668/655, 7023/1610

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 4668/655,7023/1610

Given fractions are 4668/655,7023/1610

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 4668,7023

Greatest Common Factor of Numerators i.e. GCF of 4668,7023 is 3 .

LCM of Denominators means LCM of 655,1610 as per the given fractions.

LCM of 655,1610 is 210910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4668,7023

GCF of Fractions 4668/655,7023/1610 is 3/210910

3 4668, 7023
1556, 2341

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

Greatest Common Factor of 4668,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 4668,7023 By Matching Biggest Common Factor Method

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1,2,3,4,6,12,389,778,1167,1556,2334,4668

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Greatest Common Factor

We found the factors 4668,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 4668,7023 is 3.

Lets's calculate LCM of 655,1610

5 655, 1610
131, 322

∴ So the LCM of the given numbers is 5 x 131 x 322 = 210910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/210910

Therefore, the GCF of Fractions 4668/655,7023/1610 is 3/210910

Least Common Multiple of 655,1610 with GCF Formula

Least Common Multiple of 655,1610 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 655,1610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,1610) = 5

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

GCF(655,1610) x common factors =5 x 1 = 5

LCM(655,1610) = ( 655 × 1610 ) / 5

LCM(655,1610) = 1054550 / 5

LCM(655,1610) = 210910


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 4668/655, 7023/1610

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 4668/655, 7023/1610?

Answer: GCF of Numerators as per given numbers 4668/655, 7023/1610 is

GCF of Numerators i.e. for 4668,7023 is 3

LCM of denominators i.e. for 655,1610 is 210910.

Thus, GCF of Fractions is 3/210910.Finally, GCF of Fractions for 4668/655, 7023/1610 is 3/210910.