Greatest Common Factor of 682/78, 782/74, 150/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/78, 782/74, 150/414

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 682/78,782/74,150/414

Given fractions are 682/78,782/74,150/414

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 682,782,150

Greatest Common Factor of Numerators i.e. GCF of 682,782,150 is 2 .

LCM of Denominators means LCM of 78,74,414 as per the given fractions.

LCM of 78,74,414 is 199134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,782,150

GCF of Fractions 682/78,782/74,150/414 is 2/199134

2 682, 782, 150
341, 391, 75

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

Greatest Common Factor of 682,782,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,782,150 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

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 682,782,150 . The biggest common factor number is the GCF number.
So the greatest common factor 682,782,150 is 2.

Lets's calculate LCM of 78,74,414

2 78, 74, 414
3 39, 37, 207
13, 37, 69

∴ So the LCM of the given numbers is 2 x 3 x 13 x 37 x 69 = 199134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199134

Therefore, the GCF of Fractions 682/78,782/74,150/414 is 2/199134

Least Common Multiple of 78,74,414 with GCF Formula

Least Common Multiple of 78,74,414 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 78,74,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,74,414) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,74,414) x common factors =2 x 6 = 12

LCM(78,74,414) = ( 78 × 74 × 414 ) / 12

LCM(78,74,414) = 2389608 / 12

LCM(78,74,414) = 199134


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 682/78, 782/74, 150/414

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 682/78, 782/74, 150/414?

Answer: GCF of Numerators as per given numbers 682/78, 782/74, 150/414 is

GCF of Numerators i.e. for 682,782,150 is 2

LCM of denominators i.e. for 78,74,414 is 199134.

Thus, GCF of Fractions is 2/199134.Finally, GCF of Fractions for 682/78, 782/74, 150/414 is 2/199134.