Greatest Common Factor of 850/51, 240/7211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/51, 240/7211

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 850/51,240/7211

Given fractions are 850/51,240/7211

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 850,240

Greatest Common Factor of Numerators i.e. GCF of 850,240 is 10 .

LCM of Denominators means LCM of 51,7211 as per the given fractions.

LCM of 51,7211 is 367761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,240

GCF of Fractions 850/51,240/7211 is 10/367761

2 850, 240
5 425, 120
85, 24

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 850,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,240 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 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 850,240 . The biggest common factor number is the GCF number.
So the greatest common factor 850,240 is 10.

Lets's calculate LCM of 51,7211

Given numbers has no common factors except 1. So, there LCM is their product i.e 367761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/367761

Therefore, the GCF of Fractions 850/51,240/7211 is 10/367761

Least Common Multiple of 51,7211 with GCF Formula

Least Common Multiple of 51,7211 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 51,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7211) = 1

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

GCF(51,7211) x common factors =1 x 1 = 1

LCM(51,7211) = ( 51 × 7211 ) / 1

LCM(51,7211) = 367761 / 1

LCM(51,7211) = 367761


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 850/51, 240/7211

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 850/51, 240/7211?

Answer: GCF of Numerators as per given numbers 850/51, 240/7211 is

GCF of Numerators i.e. for 850,240 is 10

LCM of denominators i.e. for 51,7211 is 367761.

Thus, GCF of Fractions is 10/367761.Finally, GCF of Fractions for 850/51, 240/7211 is 10/367761.