Greatest Common Factor of 105/20, 8085/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 105/20, 8085/948

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 105/20,8085/948

Given fractions are 105/20,8085/948

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 105,8085

Greatest Common Factor of Numerators i.e. GCF of 105,8085 is 105 .

LCM of Denominators means LCM of 20,948 as per the given fractions.

LCM of 20,948 is 4740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 105,8085

GCF of Fractions 105/20,8085/948 is 105/4740

3 105, 8085
5 35, 2695
7 7, 539
1, 77

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Greatest Common Factor of 105,8085 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,8085 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085

Greatest Common Factor

We found the factors 105,8085 . The biggest common factor number is the GCF number.
So the greatest common factor 105,8085 is 105.

Lets's calculate LCM of 20,948

2 20, 948
2 10, 474
5, 237

∴ So the LCM of the given numbers is 2 x 2 x 5 x 237 = 4740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/4740

Therefore, the GCF of Fractions 105/20,8085/948 is 105/4740

Least Common Multiple of 20,948 with GCF Formula

Least Common Multiple of 20,948 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 20,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,948) = 4

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

GCF(20,948) x common factors =4 x 1 = 4

LCM(20,948) = ( 20 × 948 ) / 4

LCM(20,948) = 18960 / 4

LCM(20,948) = 4740


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 105/20, 8085/948

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 105/20, 8085/948?

Answer: GCF of Numerators as per given numbers 105/20, 8085/948 is

GCF of Numerators i.e. for 105,8085 is 105

LCM of denominators i.e. for 20,948 is 4740.

Thus, GCF of Fractions is 105/4740.Finally, GCF of Fractions for 105/20, 8085/948 is 105/4740.