Greatest Common Factor of 738/11, 400/43, 694/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/11, 400/43, 694/960

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 738/11,400/43,694/960

Given fractions are 738/11,400/43,694/960

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 738,400,694

Greatest Common Factor of Numerators i.e. GCF of 738,400,694 is 2 .

LCM of Denominators means LCM of 11,43,960 as per the given fractions.

LCM of 11,43,960 is 454080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,400,694

GCF of Fractions 738/11,400/43,694/960 is 2/454080

2 738, 400, 694
369, 200, 347

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

Greatest Common Factor of 738,400,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,400,694 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 738,400,694 . The biggest common factor number is the GCF number.
So the greatest common factor 738,400,694 is 2.

Lets's calculate LCM of 11,43,960

Given numbers has no common factors except 1. So, there LCM is their product i.e 454080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/454080

Therefore, the GCF of Fractions 738/11,400/43,694/960 is 2/454080

Least Common Multiple of 11,43,960 with GCF Formula

Least Common Multiple of 11,43,960 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 11,43,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,43,960) = 1

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

GCF(11,43,960) x common factors =1 x 1 = 1

LCM(11,43,960) = ( 11 × 43 × 960 ) / 1

LCM(11,43,960) = 454080 / 1

LCM(11,43,960) = 454080


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 738/11, 400/43, 694/960

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 738/11, 400/43, 694/960?

Answer: GCF of Numerators as per given numbers 738/11, 400/43, 694/960 is

GCF of Numerators i.e. for 738,400,694 is 2

LCM of denominators i.e. for 11,43,960 is 454080.

Thus, GCF of Fractions is 2/454080.Finally, GCF of Fractions for 738/11, 400/43, 694/960 is 2/454080.