Greatest Common Factor of 206/780, 7325/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/780, 7325/114

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 206/780,7325/114

Given fractions are 206/780,7325/114

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 206,7325

Greatest Common Factor of Numerators i.e. GCF of 206,7325 is 1 .

LCM of Denominators means LCM of 780,114 as per the given fractions.

LCM of 780,114 is 14820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,7325

GCF of Fractions 206/780,7325/114 is 1/14820

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

Greatest Common Factor of 206,7325 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,7325 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Greatest Common Factor

We found the factors 206,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 206,7325 is 1.

Lets's calculate LCM of 780,114

2 780, 114
3 390, 57
130, 19

∴ So the LCM of the given numbers is 2 x 3 x 130 x 19 = 14820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14820

Therefore, the GCF of Fractions 206/780,7325/114 is 1/14820

Least Common Multiple of 780,114 with GCF Formula

Least Common Multiple of 780,114 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 780,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,114) = 6

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

GCF(780,114) x common factors =6 x 1 = 6

LCM(780,114) = ( 780 × 114 ) / 6

LCM(780,114) = 88920 / 6

LCM(780,114) = 14820


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 206/780, 7325/114

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 206/780, 7325/114?

Answer: GCF of Numerators as per given numbers 206/780, 7325/114 is

GCF of Numerators i.e. for 206,7325 is 1

LCM of denominators i.e. for 780,114 is 14820.

Thus, GCF of Fractions is 1/14820.Finally, GCF of Fractions for 206/780, 7325/114 is 1/14820.