Greatest Common Factor of 429/111, 6763/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/111, 6763/122

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 429/111,6763/122

Given fractions are 429/111,6763/122

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 429,6763

Greatest Common Factor of Numerators i.e. GCF of 429,6763 is 1 .

LCM of Denominators means LCM of 111,122 as per the given fractions.

LCM of 111,122 is 13542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,6763

GCF of Fractions 429/111,6763/122 is 1/13542

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

Greatest Common Factor of 429,6763 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,6763 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1,6763

Greatest Common Factor

We found the factors 429,6763 . The biggest common factor number is the GCF number.
So the greatest common factor 429,6763 is 1.

Lets's calculate LCM of 111,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 13542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13542

Therefore, the GCF of Fractions 429/111,6763/122 is 1/13542

Least Common Multiple of 111,122 with GCF Formula

Least Common Multiple of 111,122 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 111,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,122) = 1

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

GCF(111,122) x common factors =1 x 1 = 1

LCM(111,122) = ( 111 × 122 ) / 1

LCM(111,122) = 13542 / 1

LCM(111,122) = 13542


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 429/111, 6763/122

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 429/111, 6763/122?

Answer: GCF of Numerators as per given numbers 429/111, 6763/122 is

GCF of Numerators i.e. for 429,6763 is 1

LCM of denominators i.e. for 111,122 is 13542.

Thus, GCF of Fractions is 1/13542.Finally, GCF of Fractions for 429/111, 6763/122 is 1/13542.