Greatest Common Factor of 1640/167, 7849/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1640/167, 7849/821

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 1640/167,7849/821

Given fractions are 1640/167,7849/821

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 1640,7849

Greatest Common Factor of Numerators i.e. GCF of 1640,7849 is 1 .

LCM of Denominators means LCM of 167,821 as per the given fractions.

LCM of 167,821 is 137107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1640,7849

GCF of Fractions 1640/167,7849/821 is 1/137107

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1640,7849 By Matching Biggest Common Factor Method

Greatest Common Factor of 1640,7849 By Matching Biggest Common Factor Method

Factors of 1640

List of positive integer factors of 1640 that divides 1640 without a remainder.

1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640

Factors of 7849

List of positive integer factors of 7849 that divides 7849 without a remainder.

1,47,167,7849

Greatest Common Factor

We found the factors 1640,7849 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,7849 is 1.

Lets's calculate LCM of 167,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 137107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137107

Therefore, the GCF of Fractions 1640/167,7849/821 is 1/137107

Least Common Multiple of 167,821 with GCF Formula

Least Common Multiple of 167,821 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 167,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,821) = 1

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

GCF(167,821) x common factors =1 x 1 = 1

LCM(167,821) = ( 167 × 821 ) / 1

LCM(167,821) = 137107 / 1

LCM(167,821) = 137107


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 1640/167, 7849/821

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 1640/167, 7849/821?

Answer: GCF of Numerators as per given numbers 1640/167, 7849/821 is

GCF of Numerators i.e. for 1640,7849 is 1

LCM of denominators i.e. for 167,821 is 137107.

Thus, GCF of Fractions is 1/137107.Finally, GCF of Fractions for 1640/167, 7849/821 is 1/137107.