Greatest Common Factor of 4075/800, 3340/9837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4075/800, 3340/9837

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 4075/800,3340/9837

Given fractions are 4075/800,3340/9837

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 4075,3340

Greatest Common Factor of Numerators i.e. GCF of 4075,3340 is 5 .

LCM of Denominators means LCM of 800,9837 as per the given fractions.

LCM of 800,9837 is 7869600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4075,3340

GCF of Fractions 4075/800,3340/9837 is 5/7869600

5 4075, 3340
815, 668

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

Greatest Common Factor of 4075,3340 By Matching Biggest Common Factor Method

Greatest Common Factor of 4075,3340 By Matching Biggest Common Factor Method

Factors of 4075

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

1,5,25,163,815,4075

Factors of 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1,2,4,5,10,20,167,334,668,835,1670,3340

Greatest Common Factor

We found the factors 4075,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,3340 is 5.

Lets's calculate LCM of 800,9837

Given numbers has no common factors except 1. So, there LCM is their product i.e 7869600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7869600

Therefore, the GCF of Fractions 4075/800,3340/9837 is 5/7869600

Least Common Multiple of 800,9837 with GCF Formula

Least Common Multiple of 800,9837 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 800,9837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,9837) = 1

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

GCF(800,9837) x common factors =1 x 1 = 1

LCM(800,9837) = ( 800 × 9837 ) / 1

LCM(800,9837) = 7869600 / 1

LCM(800,9837) = 7869600


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 4075/800, 3340/9837

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 4075/800, 3340/9837?

Answer: GCF of Numerators as per given numbers 4075/800, 3340/9837 is

GCF of Numerators i.e. for 4075,3340 is 5

LCM of denominators i.e. for 800,9837 is 7869600.

Thus, GCF of Fractions is 5/7869600.Finally, GCF of Fractions for 4075/800, 3340/9837 is 5/7869600.