Greatest Common Factor of 6535/200, 1474/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6535/200, 1474/170

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 6535/200,1474/170

Given fractions are 6535/200,1474/170

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 6535,1474

Greatest Common Factor of Numerators i.e. GCF of 6535,1474 is 1 .

LCM of Denominators means LCM of 200,170 as per the given fractions.

LCM of 200,170 is 3400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6535,1474

GCF of Fractions 6535/200,1474/170 is 1/3400

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

Greatest Common Factor of 6535,1474 By Matching Biggest Common Factor Method

Greatest Common Factor of 6535,1474 By Matching Biggest Common Factor Method

Factors of 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1,5,1307,6535

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Greatest Common Factor

We found the factors 6535,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 6535,1474 is 1.

Lets's calculate LCM of 200,170

2 200, 170
5 100, 85
20, 17

∴ So the LCM of the given numbers is 2 x 5 x 20 x 17 = 3400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3400

Therefore, the GCF of Fractions 6535/200,1474/170 is 1/3400

Least Common Multiple of 200,170 with GCF Formula

Least Common Multiple of 200,170 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 200,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,170) = 10

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

GCF(200,170) x common factors =10 x 1 = 10

LCM(200,170) = ( 200 × 170 ) / 10

LCM(200,170) = 34000 / 10

LCM(200,170) = 3400


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 6535/200, 1474/170

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 6535/200, 1474/170?

Answer: GCF of Numerators as per given numbers 6535/200, 1474/170 is

GCF of Numerators i.e. for 6535,1474 is 1

LCM of denominators i.e. for 200,170 is 3400.

Thus, GCF of Fractions is 1/3400.Finally, GCF of Fractions for 6535/200, 1474/170 is 1/3400.