Greatest Common Factor of 14/787, 42/780, 150/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/787, 42/780, 150/733

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 14/787,42/780,150/733

Given fractions are 14/787,42/780,150/733

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 14,42,150

Greatest Common Factor of Numerators i.e. GCF of 14,42,150 is 2 .

LCM of Denominators means LCM of 787,780,733 as per the given fractions.

LCM of 787,780,733 is 449959380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,42,150

GCF of Fractions 14/787,42/780,150/733 is 2/449959380

2 14, 42, 150
7, 21, 75

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

Greatest Common Factor of 14,42,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,42,150 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 14,42,150 . The biggest common factor number is the GCF number.
So the greatest common factor 14,42,150 is 2.

Lets's calculate LCM of 787,780,733

Given numbers has no common factors except 1. So, there LCM is their product i.e 449959380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/449959380

Therefore, the GCF of Fractions 14/787,42/780,150/733 is 2/449959380

Least Common Multiple of 787,780,733 with GCF Formula

Least Common Multiple of 787,780,733 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 787,780,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,780,733) = 1

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

GCF(787,780,733) x common factors =1 x 1 = 1

LCM(787,780,733) = ( 787 × 780 × 733 ) / 1

LCM(787,780,733) = 449959380 / 1

LCM(787,780,733) = 449959380


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 14/787, 42/780, 150/733

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 14/787, 42/780, 150/733?

Answer: GCF of Numerators as per given numbers 14/787, 42/780, 150/733 is

GCF of Numerators i.e. for 14,42,150 is 2

LCM of denominators i.e. for 787,780,733 is 449959380.

Thus, GCF of Fractions is 2/449959380.Finally, GCF of Fractions for 14/787, 42/780, 150/733 is 2/449959380.