Greatest Common Factor of 7325/71, 1986/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7325/71, 1986/354

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 7325/71,1986/354

Given fractions are 7325/71,1986/354

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 7325,1986

Greatest Common Factor of Numerators i.e. GCF of 7325,1986 is 1 .

LCM of Denominators means LCM of 71,354 as per the given fractions.

LCM of 71,354 is 25134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7325,1986

GCF of Fractions 7325/71,1986/354 is 1/25134

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

Greatest Common Factor of 7325,1986 By Matching Biggest Common Factor Method

Greatest Common Factor of 7325,1986 By Matching Biggest Common Factor Method

Factors of 7325

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

1,5,25,293,1465,7325

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 7325,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 7325,1986 is 1.

Lets's calculate LCM of 71,354

Given numbers has no common factors except 1. So, there LCM is their product i.e 25134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25134

Therefore, the GCF of Fractions 7325/71,1986/354 is 1/25134

Least Common Multiple of 71,354 with GCF Formula

Least Common Multiple of 71,354 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 71,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,354) = 1

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

GCF(71,354) x common factors =1 x 1 = 1

LCM(71,354) = ( 71 × 354 ) / 1

LCM(71,354) = 25134 / 1

LCM(71,354) = 25134


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 7325/71, 1986/354

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 7325/71, 1986/354?

Answer: GCF of Numerators as per given numbers 7325/71, 1986/354 is

GCF of Numerators i.e. for 7325,1986 is 1

LCM of denominators i.e. for 71,354 is 25134.

Thus, GCF of Fractions is 1/25134.Finally, GCF of Fractions for 7325/71, 1986/354 is 1/25134.