Greatest Common Factor of 1346/73, 4266/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1346/73, 4266/962

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 1346/73,4266/962

Given fractions are 1346/73,4266/962

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 1346,4266

Greatest Common Factor of Numerators i.e. GCF of 1346,4266 is 2 .

LCM of Denominators means LCM of 73,962 as per the given fractions.

LCM of 73,962 is 70226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1346,4266

GCF of Fractions 1346/73,4266/962 is 2/70226

2 1346, 4266
673, 2133

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1346,4266 By Matching Biggest Common Factor Method

Greatest Common Factor of 1346,4266 By Matching Biggest Common Factor Method

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Factors of 4266

List of positive integer factors of 4266 that divides 4266 without a remainder.

1,2,3,6,9,18,27,54,79,158,237,474,711,1422,2133,4266

Greatest Common Factor

We found the factors 1346,4266 . The biggest common factor number is the GCF number.
So the greatest common factor 1346,4266 is 2.

Lets's calculate LCM of 73,962

Given numbers has no common factors except 1. So, there LCM is their product i.e 70226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70226

Therefore, the GCF of Fractions 1346/73,4266/962 is 2/70226

Least Common Multiple of 73,962 with GCF Formula

Least Common Multiple of 73,962 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 73,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,962) = 1

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

GCF(73,962) x common factors =1 x 1 = 1

LCM(73,962) = ( 73 × 962 ) / 1

LCM(73,962) = 70226 / 1

LCM(73,962) = 70226


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 1346/73, 4266/962

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 1346/73, 4266/962?

Answer: GCF of Numerators as per given numbers 1346/73, 4266/962 is

GCF of Numerators i.e. for 1346,4266 is 2

LCM of denominators i.e. for 73,962 is 70226.

Thus, GCF of Fractions is 2/70226.Finally, GCF of Fractions for 1346/73, 4266/962 is 2/70226.