Greatest Common Factor of 682/121, 2073/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/121, 2073/762

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 682/121,2073/762

Given fractions are 682/121,2073/762

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 682,2073

Greatest Common Factor of Numerators i.e. GCF of 682,2073 is 1 .

LCM of Denominators means LCM of 121,762 as per the given fractions.

LCM of 121,762 is 92202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,2073

GCF of Fractions 682/121,2073/762 is 1/92202

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

Greatest Common Factor of 682,2073 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,2073 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 2073

List of positive integer factors of 2073 that divides 2073 without a remainder.

1,3,691,2073

Greatest Common Factor

We found the factors 682,2073 . The biggest common factor number is the GCF number.
So the greatest common factor 682,2073 is 1.

Lets's calculate LCM of 121,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 92202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92202

Therefore, the GCF of Fractions 682/121,2073/762 is 1/92202

Least Common Multiple of 121,762 with GCF Formula

Least Common Multiple of 121,762 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 121,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,762) = 1

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

GCF(121,762) x common factors =1 x 1 = 1

LCM(121,762) = ( 121 × 762 ) / 1

LCM(121,762) = 92202 / 1

LCM(121,762) = 92202


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 682/121, 2073/762

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 682/121, 2073/762?

Answer: GCF of Numerators as per given numbers 682/121, 2073/762 is

GCF of Numerators i.e. for 682,2073 is 1

LCM of denominators i.e. for 121,762 is 92202.

Thus, GCF of Fractions is 1/92202.Finally, GCF of Fractions for 682/121, 2073/762 is 1/92202.