Greatest Common Factor of 146/796, 3773/2946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/796, 3773/2946

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 146/796,3773/2946

Given fractions are 146/796,3773/2946

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 146,3773

Greatest Common Factor of Numerators i.e. GCF of 146,3773 is 1 .

LCM of Denominators means LCM of 796,2946 as per the given fractions.

LCM of 796,2946 is 1172508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,3773

GCF of Fractions 146/796,3773/2946 is 1/1172508

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

Greatest Common Factor of 146,3773 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,3773 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 3773

List of positive integer factors of 3773 that divides 3773 without a remainder.

1,7,11,49,77,343,539,3773

Greatest Common Factor

We found the factors 146,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 146,3773 is 1.

Lets's calculate LCM of 796,2946

2 796, 2946
398, 1473

∴ So the LCM of the given numbers is 2 x 398 x 1473 = 1172508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1172508

Therefore, the GCF of Fractions 146/796,3773/2946 is 1/1172508

Least Common Multiple of 796,2946 with GCF Formula

Least Common Multiple of 796,2946 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 796,2946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,2946) = 2

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

GCF(796,2946) x common factors =2 x 1 = 2

LCM(796,2946) = ( 796 × 2946 ) / 2

LCM(796,2946) = 2345016 / 2

LCM(796,2946) = 1172508


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 146/796, 3773/2946

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 146/796, 3773/2946?

Answer: GCF of Numerators as per given numbers 146/796, 3773/2946 is

GCF of Numerators i.e. for 146,3773 is 1

LCM of denominators i.e. for 796,2946 is 1172508.

Thus, GCF of Fractions is 1/1172508.Finally, GCF of Fractions for 146/796, 3773/2946 is 1/1172508.