Greatest Common Factor of 1710/630, 6291/1867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1710/630, 6291/1867

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 1710/630,6291/1867

Given fractions are 1710/630,6291/1867

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 1710,6291

Greatest Common Factor of Numerators i.e. GCF of 1710,6291 is 9 .

LCM of Denominators means LCM of 630,1867 as per the given fractions.

LCM of 630,1867 is 1176210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1710,6291

GCF of Fractions 1710/630,6291/1867 is 9/1176210

3 1710, 6291
3 570, 2097
190, 699

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

Greatest Common Factor of 1710,6291 By Matching Biggest Common Factor Method

Greatest Common Factor of 1710,6291 By Matching Biggest Common Factor Method

Factors of 1710

List of positive integer factors of 1710 that divides 1710 without a remainder.

1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710

Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1,3,9,27,233,699,2097,6291

Greatest Common Factor

We found the factors 1710,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 1710,6291 is 9.

Lets's calculate LCM of 630,1867

Given numbers has no common factors except 1. So, there LCM is their product i.e 1176210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1176210

Therefore, the GCF of Fractions 1710/630,6291/1867 is 9/1176210

Least Common Multiple of 630,1867 with GCF Formula

Least Common Multiple of 630,1867 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 630,1867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,1867) = 1

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

GCF(630,1867) x common factors =1 x 1 = 1

LCM(630,1867) = ( 630 × 1867 ) / 1

LCM(630,1867) = 1176210 / 1

LCM(630,1867) = 1176210


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 1710/630, 6291/1867

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 1710/630, 6291/1867?

Answer: GCF of Numerators as per given numbers 1710/630, 6291/1867 is

GCF of Numerators i.e. for 1710,6291 is 9

LCM of denominators i.e. for 630,1867 is 1176210.

Thus, GCF of Fractions is 9/1176210.Finally, GCF of Fractions for 1710/630, 6291/1867 is 9/1176210.