Greatest Common Factor of 1199/201, 6172/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1199/201, 6172/410

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 1199/201,6172/410

Given fractions are 1199/201,6172/410

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 1199,6172

Greatest Common Factor of Numerators i.e. GCF of 1199,6172 is 1 .

LCM of Denominators means LCM of 201,410 as per the given fractions.

LCM of 201,410 is 82410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1199,6172

GCF of Fractions 1199/201,6172/410 is 1/82410

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1199,6172 By Matching Biggest Common Factor Method

Greatest Common Factor of 1199,6172 By Matching Biggest Common Factor Method

Factors of 1199

List of positive integer factors of 1199 that divides 1199 without a remainder.

1,11,109,1199

Factors of 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1,2,4,1543,3086,6172

Greatest Common Factor

We found the factors 1199,6172 . The biggest common factor number is the GCF number.
So the greatest common factor 1199,6172 is 1.

Lets's calculate LCM of 201,410

Given numbers has no common factors except 1. So, there LCM is their product i.e 82410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82410

Therefore, the GCF of Fractions 1199/201,6172/410 is 1/82410

Least Common Multiple of 201,410 with GCF Formula

Least Common Multiple of 201,410 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 201,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,410) = 1

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

GCF(201,410) x common factors =1 x 1 = 1

LCM(201,410) = ( 201 × 410 ) / 1

LCM(201,410) = 82410 / 1

LCM(201,410) = 82410


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 1199/201, 6172/410

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 1199/201, 6172/410?

Answer: GCF of Numerators as per given numbers 1199/201, 6172/410 is

GCF of Numerators i.e. for 1199,6172 is 1

LCM of denominators i.e. for 201,410 is 82410.

Thus, GCF of Fractions is 1/82410.Finally, GCF of Fractions for 1199/201, 6172/410 is 1/82410.