Greatest Common Factor of 9070/395, 4075/2067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9070/395, 4075/2067

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 9070/395,4075/2067

Given fractions are 9070/395,4075/2067

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 9070,4075

Greatest Common Factor of Numerators i.e. GCF of 9070,4075 is 5 .

LCM of Denominators means LCM of 395,2067 as per the given fractions.

LCM of 395,2067 is 816465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9070,4075

GCF of Fractions 9070/395,4075/2067 is 5/816465

5 9070, 4075
1814, 815

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

Greatest Common Factor of 9070,4075 By Matching Biggest Common Factor Method

Greatest Common Factor of 9070,4075 By Matching Biggest Common Factor Method

Factors of 9070

List of positive integer factors of 9070 that divides 9070 without a remainder.

1,2,5,10,907,1814,4535,9070

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1,5,25,163,815,4075

Greatest Common Factor

We found the factors 9070,4075 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,4075 is 5.

Lets's calculate LCM of 395,2067

Given numbers has no common factors except 1. So, there LCM is their product i.e 816465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/816465

Therefore, the GCF of Fractions 9070/395,4075/2067 is 5/816465

Least Common Multiple of 395,2067 with GCF Formula

Least Common Multiple of 395,2067 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 395,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,2067) = 1

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

GCF(395,2067) x common factors =1 x 1 = 1

LCM(395,2067) = ( 395 × 2067 ) / 1

LCM(395,2067) = 816465 / 1

LCM(395,2067) = 816465


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 9070/395, 4075/2067

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 9070/395, 4075/2067?

Answer: GCF of Numerators as per given numbers 9070/395, 4075/2067 is

GCF of Numerators i.e. for 9070,4075 is 5

LCM of denominators i.e. for 395,2067 is 816465.

Thus, GCF of Fractions is 5/816465.Finally, GCF of Fractions for 9070/395, 4075/2067 is 5/816465.