Greatest Common Factor of 845/830, 9110/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/830, 9110/267

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 845/830,9110/267

Given fractions are 845/830,9110/267

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 845,9110

Greatest Common Factor of Numerators i.e. GCF of 845,9110 is 5 .

LCM of Denominators means LCM of 830,267 as per the given fractions.

LCM of 830,267 is 221610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,9110

GCF of Fractions 845/830,9110/267 is 5/221610

5 845, 9110
169, 1822

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 845,9110 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,9110 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1,2,5,10,911,1822,4555,9110

Greatest Common Factor

We found the factors 845,9110 . The biggest common factor number is the GCF number.
So the greatest common factor 845,9110 is 5.

Lets's calculate LCM of 830,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 221610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/221610

Therefore, the GCF of Fractions 845/830,9110/267 is 5/221610

Least Common Multiple of 830,267 with GCF Formula

Least Common Multiple of 830,267 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 830,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,267) = 1

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

GCF(830,267) x common factors =1 x 1 = 1

LCM(830,267) = ( 830 × 267 ) / 1

LCM(830,267) = 221610 / 1

LCM(830,267) = 221610


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 845/830, 9110/267

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 845/830, 9110/267?

Answer: GCF of Numerators as per given numbers 845/830, 9110/267 is

GCF of Numerators i.e. for 845,9110 is 5

LCM of denominators i.e. for 830,267 is 221610.

Thus, GCF of Fractions is 5/221610.Finally, GCF of Fractions for 845/830, 9110/267 is 5/221610.