Greatest Common Factor of 850/783, 1350/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/783, 1350/111

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 850/783,1350/111

Given fractions are 850/783,1350/111

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 850,1350

Greatest Common Factor of Numerators i.e. GCF of 850,1350 is 50 .

LCM of Denominators means LCM of 783,111 as per the given fractions.

LCM of 783,111 is 28971 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,1350

GCF of Fractions 850/783,1350/111 is 50/28971

2 850, 1350
5 425, 675
5 85, 135
17, 27

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 850,1350 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,1350 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 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Greatest Common Factor

We found the factors 850,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 850,1350 is 50.

Lets's calculate LCM of 783,111

3 783, 111
261, 37

∴ So the LCM of the given numbers is 3 x 261 x 37 = 28971

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/28971

Therefore, the GCF of Fractions 850/783,1350/111 is 50/28971

Least Common Multiple of 783,111 with GCF Formula

Least Common Multiple of 783,111 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 783,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,111) = 3

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

GCF(783,111) x common factors =3 x 1 = 3

LCM(783,111) = ( 783 × 111 ) / 3

LCM(783,111) = 86913 / 3

LCM(783,111) = 28971


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 850/783, 1350/111

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 850/783, 1350/111?

Answer: GCF of Numerators as per given numbers 850/783, 1350/111 is

GCF of Numerators i.e. for 850,1350 is 50

LCM of denominators i.e. for 783,111 is 28971.

Thus, GCF of Fractions is 50/28971.Finally, GCF of Fractions for 850/783, 1350/111 is 50/28971.