Greatest Common Factor of 860/42, 782/30, 917/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/42, 782/30, 917/33

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 860/42,782/30,917/33

Given fractions are 860/42,782/30,917/33

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 860,782,917

Greatest Common Factor of Numerators i.e. GCF of 860,782,917 is 1 .

LCM of Denominators means LCM of 42,30,33 as per the given fractions.

LCM of 42,30,33 is 2310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,782,917

GCF of Fractions 860/42,782/30,917/33 is 1/2310

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 860,782,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,782,917 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

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 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 860,782,917 . The biggest common factor number is the GCF number.
So the greatest common factor 860,782,917 is 1.

Lets's calculate LCM of 42,30,33

2 42, 30, 33
3 21, 15, 33
7, 5, 11

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 11 = 2310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310

Therefore, the GCF of Fractions 860/42,782/30,917/33 is 1/2310

Least Common Multiple of 42,30,33 with GCF Formula

Least Common Multiple of 42,30,33 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 42,30,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,30,33) = 3

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

GCF(42,30,33) x common factors =3 x 6 = 18

LCM(42,30,33) = ( 42 × 30 × 33 ) / 18

LCM(42,30,33) = 41580 / 18

LCM(42,30,33) = 2310


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 860/42, 782/30, 917/33

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 860/42, 782/30, 917/33?

Answer: GCF of Numerators as per given numbers 860/42, 782/30, 917/33 is

GCF of Numerators i.e. for 860,782,917 is 1

LCM of denominators i.e. for 42,30,33 is 2310.

Thus, GCF of Fractions is 1/2310.Finally, GCF of Fractions for 860/42, 782/30, 917/33 is 1/2310.