Greatest Common Factor of 850/22, 714/40, 799/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/22, 714/40, 799/155

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 850/22,714/40,799/155

Given fractions are 850/22,714/40,799/155

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 850,714,799

Greatest Common Factor of Numerators i.e. GCF of 850,714,799 is 17 .

LCM of Denominators means LCM of 22,40,155 as per the given fractions.

LCM of 22,40,155 is 13640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,714,799

GCF of Fractions 850/22,714/40,799/155 is 17/13640

17 850, 714, 799
50, 42, 47

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 850,714,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,714,799 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 850,714,799 . The biggest common factor number is the GCF number.
So the greatest common factor 850,714,799 is 17.

Lets's calculate LCM of 22,40,155

2 22, 40, 155
5 11, 20, 155
11, 4, 31

∴ So the LCM of the given numbers is 2 x 5 x 11 x 4 x 31 = 13640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/13640

Therefore, the GCF of Fractions 850/22,714/40,799/155 is 17/13640

Least Common Multiple of 22,40,155 with GCF Formula

Least Common Multiple of 22,40,155 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 22,40,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,40,155) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(22,40,155) x common factors =1 x 10 = 10

LCM(22,40,155) = ( 22 × 40 × 155 ) / 10

LCM(22,40,155) = 136400 / 10

LCM(22,40,155) = 13640


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 850/22, 714/40, 799/155

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 850/22, 714/40, 799/155?

Answer: GCF of Numerators as per given numbers 850/22, 714/40, 799/155 is

GCF of Numerators i.e. for 850,714,799 is 17

LCM of denominators i.e. for 22,40,155 is 13640.

Thus, GCF of Fractions is 17/13640.Finally, GCF of Fractions for 850/22, 714/40, 799/155 is 17/13640.