Greatest Common Factor of 1001/469, 6167/2080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1001/469, 6167/2080

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 1001/469,6167/2080

Given fractions are 1001/469,6167/2080

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 1001,6167

Greatest Common Factor of Numerators i.e. GCF of 1001,6167 is 7 .

LCM of Denominators means LCM of 469,2080 as per the given fractions.

LCM of 469,2080 is 975520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1001,6167

GCF of Fractions 1001/469,6167/2080 is 7/975520

7 1001, 6167
143, 881

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1001,6167 By Matching Biggest Common Factor Method

Greatest Common Factor of 1001,6167 By Matching Biggest Common Factor Method

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Factors of 6167

List of positive integer factors of 6167 that divides 6167 without a remainder.

1,7,881,6167

Greatest Common Factor

We found the factors 1001,6167 . The biggest common factor number is the GCF number.
So the greatest common factor 1001,6167 is 7.

Lets's calculate LCM of 469,2080

Given numbers has no common factors except 1. So, there LCM is their product i.e 975520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/975520

Therefore, the GCF of Fractions 1001/469,6167/2080 is 7/975520

Least Common Multiple of 469,2080 with GCF Formula

Least Common Multiple of 469,2080 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 469,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,2080) = 1

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

GCF(469,2080) x common factors =1 x 1 = 1

LCM(469,2080) = ( 469 × 2080 ) / 1

LCM(469,2080) = 975520 / 1

LCM(469,2080) = 975520


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 1001/469, 6167/2080

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 1001/469, 6167/2080?

Answer: GCF of Numerators as per given numbers 1001/469, 6167/2080 is

GCF of Numerators i.e. for 1001,6167 is 7

LCM of denominators i.e. for 469,2080 is 975520.

Thus, GCF of Fractions is 7/975520.Finally, GCF of Fractions for 1001/469, 6167/2080 is 7/975520.