Greatest Common Factor of 371/67, 689/43, 133/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/67, 689/43, 133/628

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 371/67,689/43,133/628

Given fractions are 371/67,689/43,133/628

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 371,689,133

Greatest Common Factor of Numerators i.e. GCF of 371,689,133 is 1 .

LCM of Denominators means LCM of 67,43,628 as per the given fractions.

LCM of 67,43,628 is 1809268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,689,133

GCF of Fractions 371/67,689/43,133/628 is 1/1809268

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

Greatest Common Factor of 371,689,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,689,133 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 371,689,133 . The biggest common factor number is the GCF number.
So the greatest common factor 371,689,133 is 1.

Lets's calculate LCM of 67,43,628

Given numbers has no common factors except 1. So, there LCM is their product i.e 1809268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1809268

Therefore, the GCF of Fractions 371/67,689/43,133/628 is 1/1809268

Least Common Multiple of 67,43,628 with GCF Formula

Least Common Multiple of 67,43,628 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 67,43,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,43,628) = 1

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

GCF(67,43,628) x common factors =1 x 1 = 1

LCM(67,43,628) = ( 67 × 43 × 628 ) / 1

LCM(67,43,628) = 1809268 / 1

LCM(67,43,628) = 1809268


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 371/67, 689/43, 133/628

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 371/67, 689/43, 133/628?

Answer: GCF of Numerators as per given numbers 371/67, 689/43, 133/628 is

GCF of Numerators i.e. for 371,689,133 is 1

LCM of denominators i.e. for 67,43,628 is 1809268.

Thus, GCF of Fractions is 1/1809268.Finally, GCF of Fractions for 371/67, 689/43, 133/628 is 1/1809268.