Greatest Common Factor of 3967/697, 1974/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3967/697, 1974/189

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 3967/697,1974/189

Given fractions are 3967/697,1974/189

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 3967,1974

Greatest Common Factor of Numerators i.e. GCF of 3967,1974 is 1 .

LCM of Denominators means LCM of 697,189 as per the given fractions.

LCM of 697,189 is 131733 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3967,1974

GCF of Fractions 3967/697,1974/189 is 1/131733

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

Greatest Common Factor of 3967,1974 By Matching Biggest Common Factor Method

Greatest Common Factor of 3967,1974 By Matching Biggest Common Factor Method

Factors of 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1,3967

Factors of 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 3967,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 3967,1974 is 1.

Lets's calculate LCM of 697,189

Given numbers has no common factors except 1. So, there LCM is their product i.e 131733

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131733

Therefore, the GCF of Fractions 3967/697,1974/189 is 1/131733

Least Common Multiple of 697,189 with GCF Formula

Least Common Multiple of 697,189 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 697,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,189) = 1

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

GCF(697,189) x common factors =1 x 1 = 1

LCM(697,189) = ( 697 × 189 ) / 1

LCM(697,189) = 131733 / 1

LCM(697,189) = 131733


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 3967/697, 1974/189

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 3967/697, 1974/189?

Answer: GCF of Numerators as per given numbers 3967/697, 1974/189 is

GCF of Numerators i.e. for 3967,1974 is 1

LCM of denominators i.e. for 697,189 is 131733.

Thus, GCF of Fractions is 1/131733.Finally, GCF of Fractions for 3967/697, 1974/189 is 1/131733.