Greatest Common Factor of 6270/17, 1528/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6270/17, 1528/149

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 6270/17,1528/149

Given fractions are 6270/17,1528/149

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 6270,1528

Greatest Common Factor of Numerators i.e. GCF of 6270,1528 is 2 .

LCM of Denominators means LCM of 17,149 as per the given fractions.

LCM of 17,149 is 2533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6270,1528

GCF of Fractions 6270/17,1528/149 is 2/2533

2 6270, 1528
3135, 764

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6270,1528 By Matching Biggest Common Factor Method

Greatest Common Factor of 6270,1528 By Matching Biggest Common Factor Method

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Greatest Common Factor

We found the factors 6270,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 6270,1528 is 2.

Lets's calculate LCM of 17,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 2533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2533

Therefore, the GCF of Fractions 6270/17,1528/149 is 2/2533

Least Common Multiple of 17,149 with GCF Formula

Least Common Multiple of 17,149 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 17,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,149) = 1

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

GCF(17,149) x common factors =1 x 1 = 1

LCM(17,149) = ( 17 × 149 ) / 1

LCM(17,149) = 2533 / 1

LCM(17,149) = 2533


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 6270/17, 1528/149

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 6270/17, 1528/149?

Answer: GCF of Numerators as per given numbers 6270/17, 1528/149 is

GCF of Numerators i.e. for 6270,1528 is 2

LCM of denominators i.e. for 17,149 is 2533.

Thus, GCF of Fractions is 2/2533.Finally, GCF of Fractions for 6270/17, 1528/149 is 2/2533.