Greatest Common Factor of 693/58, 422/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/58, 422/133

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 693/58,422/133

Given fractions are 693/58,422/133

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 693,422

Greatest Common Factor of Numerators i.e. GCF of 693,422 is 1 .

LCM of Denominators means LCM of 58,133 as per the given fractions.

LCM of 58,133 is 7714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,422

GCF of Fractions 693/58,422/133 is 1/7714

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

Greatest Common Factor of 693,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,422 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 693,422 . The biggest common factor number is the GCF number.
So the greatest common factor 693,422 is 1.

Lets's calculate LCM of 58,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 7714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7714

Therefore, the GCF of Fractions 693/58,422/133 is 1/7714

Least Common Multiple of 58,133 with GCF Formula

Least Common Multiple of 58,133 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 58,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,133) = 1

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

GCF(58,133) x common factors =1 x 1 = 1

LCM(58,133) = ( 58 × 133 ) / 1

LCM(58,133) = 7714 / 1

LCM(58,133) = 7714


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 693/58, 422/133

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 693/58, 422/133?

Answer: GCF of Numerators as per given numbers 693/58, 422/133 is

GCF of Numerators i.e. for 693,422 is 1

LCM of denominators i.e. for 58,133 is 7714.

Thus, GCF of Fractions is 1/7714.Finally, GCF of Fractions for 693/58, 422/133 is 1/7714.