Greatest Common Factor of 3746/966, 1294/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3746/966, 1294/755

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 3746/966,1294/755

Given fractions are 3746/966,1294/755

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 3746,1294

Greatest Common Factor of Numerators i.e. GCF of 3746,1294 is 2 .

LCM of Denominators means LCM of 966,755 as per the given fractions.

LCM of 966,755 is 729330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3746,1294

GCF of Fractions 3746/966,1294/755 is 2/729330

2 3746, 1294
1873, 647

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

Greatest Common Factor of 3746,1294 By Matching Biggest Common Factor Method

Greatest Common Factor of 3746,1294 By Matching Biggest Common Factor Method

Factors of 3746

List of positive integer factors of 3746 that divides 3746 without a remainder.

1,2,1873,3746

Factors of 1294

List of positive integer factors of 1294 that divides 1294 without a remainder.

1,2,647,1294

Greatest Common Factor

We found the factors 3746,1294 . The biggest common factor number is the GCF number.
So the greatest common factor 3746,1294 is 2.

Lets's calculate LCM of 966,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 729330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/729330

Therefore, the GCF of Fractions 3746/966,1294/755 is 2/729330

Least Common Multiple of 966,755 with GCF Formula

Least Common Multiple of 966,755 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 966,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,755) = 1

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

GCF(966,755) x common factors =1 x 1 = 1

LCM(966,755) = ( 966 × 755 ) / 1

LCM(966,755) = 729330 / 1

LCM(966,755) = 729330


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 3746/966, 1294/755

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 3746/966, 1294/755?

Answer: GCF of Numerators as per given numbers 3746/966, 1294/755 is

GCF of Numerators i.e. for 3746,1294 is 2

LCM of denominators i.e. for 966,755 is 729330.

Thus, GCF of Fractions is 2/729330.Finally, GCF of Fractions for 3746/966, 1294/755 is 2/729330.