Greatest Common Factor of 200/7915, 170/4005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/7915, 170/4005

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 200/7915,170/4005

Given fractions are 200/7915,170/4005

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 200,170

Greatest Common Factor of Numerators i.e. GCF of 200,170 is 10 .

LCM of Denominators means LCM of 7915,4005 as per the given fractions.

LCM of 7915,4005 is 6339915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,170

GCF of Fractions 200/7915,170/4005 is 10/6339915

2 200, 170
5 100, 85
20, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 200,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,170 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 200,170 . The biggest common factor number is the GCF number.
So the greatest common factor 200,170 is 10.

Lets's calculate LCM of 7915,4005

5 7915, 4005
1583, 801

∴ So the LCM of the given numbers is 5 x 1583 x 801 = 6339915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6339915

Therefore, the GCF of Fractions 200/7915,170/4005 is 10/6339915

Least Common Multiple of 7915,4005 with GCF Formula

Least Common Multiple of 7915,4005 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 7915,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7915,4005) = 5

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

GCF(7915,4005) x common factors =5 x 1 = 5

LCM(7915,4005) = ( 7915 × 4005 ) / 5

LCM(7915,4005) = 31699575 / 5

LCM(7915,4005) = 6339915


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 200/7915, 170/4005

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 200/7915, 170/4005?

Answer: GCF of Numerators as per given numbers 200/7915, 170/4005 is

GCF of Numerators i.e. for 200,170 is 10

LCM of denominators i.e. for 7915,4005 is 6339915.

Thus, GCF of Fractions is 10/6339915.Finally, GCF of Fractions for 200/7915, 170/4005 is 10/6339915.