Greatest Common Factor of 167/88, 749/89, 983/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 167/88, 749/89, 983/623

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 167/88,749/89,983/623

Given fractions are 167/88,749/89,983/623

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 167,749,983

Greatest Common Factor of Numerators i.e. GCF of 167,749,983 is 1 .

LCM of Denominators means LCM of 88,89,623 as per the given fractions.

LCM of 88,89,623 is 54824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 167,749,983

GCF of Fractions 167/88,749/89,983/623 is 1/54824

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

Greatest Common Factor of 167,749,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,749,983 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 167,749,983 . The biggest common factor number is the GCF number.
So the greatest common factor 167,749,983 is 1.

Lets's calculate LCM of 88,89,623

89 88, 89, 623
88, 1, 7

∴ So the LCM of the given numbers is 89 x 88 x 1 x 7 = 54824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54824

Therefore, the GCF of Fractions 167/88,749/89,983/623 is 1/54824

Least Common Multiple of 88,89,623 with GCF Formula

Least Common Multiple of 88,89,623 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 88,89,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,89,623) = 1

common factors(in case of two or more numbers have common factors) = 89

GCF(88,89,623) x common factors =1 x 89 = 89

LCM(88,89,623) = ( 88 × 89 × 623 ) / 89

LCM(88,89,623) = 4879336 / 89

LCM(88,89,623) = 54824


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 167/88, 749/89, 983/623

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 167/88, 749/89, 983/623?

Answer: GCF of Numerators as per given numbers 167/88, 749/89, 983/623 is

GCF of Numerators i.e. for 167,749,983 is 1

LCM of denominators i.e. for 88,89,623 is 54824.

Thus, GCF of Fractions is 1/54824.Finally, GCF of Fractions for 167/88, 749/89, 983/623 is 1/54824.