Greatest Common Factor of 237/7530, 945/8162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/7530, 945/8162

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 237/7530,945/8162

Given fractions are 237/7530,945/8162

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 237,945

Greatest Common Factor of Numerators i.e. GCF of 237,945 is 3 .

LCM of Denominators means LCM of 7530,8162 as per the given fractions.

LCM of 7530,8162 is 30729930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,945

GCF of Fractions 237/7530,945/8162 is 3/30729930

3 237, 945
79, 315

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 237,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,945 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 237,945 . The biggest common factor number is the GCF number.
So the greatest common factor 237,945 is 3.

Lets's calculate LCM of 7530,8162

2 7530, 8162
3765, 4081

∴ So the LCM of the given numbers is 2 x 3765 x 4081 = 30729930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30729930

Therefore, the GCF of Fractions 237/7530,945/8162 is 3/30729930

Least Common Multiple of 7530,8162 with GCF Formula

Least Common Multiple of 7530,8162 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 7530,8162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7530,8162) = 2

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

GCF(7530,8162) x common factors =2 x 1 = 2

LCM(7530,8162) = ( 7530 × 8162 ) / 2

LCM(7530,8162) = 61459860 / 2

LCM(7530,8162) = 30729930


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 237/7530, 945/8162

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 237/7530, 945/8162?

Answer: GCF of Numerators as per given numbers 237/7530, 945/8162 is

GCF of Numerators i.e. for 237,945 is 3

LCM of denominators i.e. for 7530,8162 is 30729930.

Thus, GCF of Fractions is 3/30729930.Finally, GCF of Fractions for 237/7530, 945/8162 is 3/30729930.