Greatest Common Factor of 7693/167, 1743/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7693/167, 1743/623

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 7693/167,1743/623

Given fractions are 7693/167,1743/623

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 7693,1743

Greatest Common Factor of Numerators i.e. GCF of 7693,1743 is 7 .

LCM of Denominators means LCM of 167,623 as per the given fractions.

LCM of 167,623 is 104041 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7693,1743

GCF of Fractions 7693/167,1743/623 is 7/104041

7 7693, 1743
1099, 249

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

Greatest Common Factor of 7693,1743 By Matching Biggest Common Factor Method

Greatest Common Factor of 7693,1743 By Matching Biggest Common Factor Method

Factors of 7693

List of positive integer factors of 7693 that divides 7693 without a remainder.

1,7,49,157,1099,7693

Factors of 1743

List of positive integer factors of 1743 that divides 1743 without a remainder.

1,3,7,21,83,249,581,1743

Greatest Common Factor

We found the factors 7693,1743 . The biggest common factor number is the GCF number.
So the greatest common factor 7693,1743 is 7.

Lets's calculate LCM of 167,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 104041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/104041

Therefore, the GCF of Fractions 7693/167,1743/623 is 7/104041

Least Common Multiple of 167,623 with GCF Formula

Least Common Multiple of 167,623 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 167,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,623) = 1

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

GCF(167,623) x common factors =1 x 1 = 1

LCM(167,623) = ( 167 × 623 ) / 1

LCM(167,623) = 104041 / 1

LCM(167,623) = 104041


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 7693/167, 1743/623

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 7693/167, 1743/623?

Answer: GCF of Numerators as per given numbers 7693/167, 1743/623 is

GCF of Numerators i.e. for 7693,1743 is 7

LCM of denominators i.e. for 167,623 is 104041.

Thus, GCF of Fractions is 7/104041.Finally, GCF of Fractions for 7693/167, 1743/623 is 7/104041.