Greatest Common Factor of 1215/242, 1670/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1215/242, 1670/955

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 1215/242,1670/955

Given fractions are 1215/242,1670/955

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 1215,1670

Greatest Common Factor of Numerators i.e. GCF of 1215,1670 is 5 .

LCM of Denominators means LCM of 242,955 as per the given fractions.

LCM of 242,955 is 231110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1215,1670

GCF of Fractions 1215/242,1670/955 is 5/231110

5 1215, 1670
243, 334

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

Greatest Common Factor of 1215,1670 By Matching Biggest Common Factor Method

Greatest Common Factor of 1215,1670 By Matching Biggest Common Factor Method

Factors of 1215

List of positive integer factors of 1215 that divides 1215 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,1215

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1,2,5,10,167,334,835,1670

Greatest Common Factor

We found the factors 1215,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,1670 is 5.

Lets's calculate LCM of 242,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 231110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/231110

Therefore, the GCF of Fractions 1215/242,1670/955 is 5/231110

Least Common Multiple of 242,955 with GCF Formula

Least Common Multiple of 242,955 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 242,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,955) = 1

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

GCF(242,955) x common factors =1 x 1 = 1

LCM(242,955) = ( 242 × 955 ) / 1

LCM(242,955) = 231110 / 1

LCM(242,955) = 231110


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 1215/242, 1670/955

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 1215/242, 1670/955?

Answer: GCF of Numerators as per given numbers 1215/242, 1670/955 is

GCF of Numerators i.e. for 1215,1670 is 5

LCM of denominators i.e. for 242,955 is 231110.

Thus, GCF of Fractions is 5/231110.Finally, GCF of Fractions for 1215/242, 1670/955 is 5/231110.