Greatest Common Factor of 667/530, 985/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/530, 985/167

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 667/530,985/167

Given fractions are 667/530,985/167

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 667,985

Greatest Common Factor of Numerators i.e. GCF of 667,985 is 1 .

LCM of Denominators means LCM of 530,167 as per the given fractions.

LCM of 530,167 is 88510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,985

GCF of Fractions 667/530,985/167 is 1/88510

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

Greatest Common Factor of 667,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,985 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 667,985 . The biggest common factor number is the GCF number.
So the greatest common factor 667,985 is 1.

Lets's calculate LCM of 530,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 88510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88510

Therefore, the GCF of Fractions 667/530,985/167 is 1/88510

Least Common Multiple of 530,167 with GCF Formula

Least Common Multiple of 530,167 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 530,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,167) = 1

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

GCF(530,167) x common factors =1 x 1 = 1

LCM(530,167) = ( 530 × 167 ) / 1

LCM(530,167) = 88510 / 1

LCM(530,167) = 88510


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 667/530, 985/167

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 667/530, 985/167?

Answer: GCF of Numerators as per given numbers 667/530, 985/167 is

GCF of Numerators i.e. for 667,985 is 1

LCM of denominators i.e. for 530,167 is 88510.

Thus, GCF of Fractions is 1/88510.Finally, GCF of Fractions for 667/530, 985/167 is 1/88510.