Greatest Common Factor of 3009/870, 4755/1711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3009/870, 4755/1711

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 3009/870,4755/1711

Given fractions are 3009/870,4755/1711

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 3009,4755

Greatest Common Factor of Numerators i.e. GCF of 3009,4755 is 3 .

LCM of Denominators means LCM of 870,1711 as per the given fractions.

LCM of 870,1711 is 51330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3009,4755

GCF of Fractions 3009/870,4755/1711 is 3/51330

3 3009, 4755
1003, 1585

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

Greatest Common Factor of 3009,4755 By Matching Biggest Common Factor Method

Greatest Common Factor of 3009,4755 By Matching Biggest Common Factor Method

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1,3,17,51,59,177,1003,3009

Factors of 4755

List of positive integer factors of 4755 that divides 4755 without a remainder.

1,3,5,15,317,951,1585,4755

Greatest Common Factor

We found the factors 3009,4755 . The biggest common factor number is the GCF number.
So the greatest common factor 3009,4755 is 3.

Lets's calculate LCM of 870,1711

29 870, 1711
30, 59

∴ So the LCM of the given numbers is 29 x 30 x 59 = 51330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51330

Therefore, the GCF of Fractions 3009/870,4755/1711 is 3/51330

Least Common Multiple of 870,1711 with GCF Formula

Least Common Multiple of 870,1711 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 870,1711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,1711) = 29

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

GCF(870,1711) x common factors =29 x 1 = 29

LCM(870,1711) = ( 870 × 1711 ) / 29

LCM(870,1711) = 1488570 / 29

LCM(870,1711) = 51330


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 3009/870, 4755/1711

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 3009/870, 4755/1711?

Answer: GCF of Numerators as per given numbers 3009/870, 4755/1711 is

GCF of Numerators i.e. for 3009,4755 is 3

LCM of denominators i.e. for 870,1711 is 51330.

Thus, GCF of Fractions is 3/51330.Finally, GCF of Fractions for 3009/870, 4755/1711 is 3/51330.