Greatest Common Factor of 1514/427, 3060/6055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1514/427, 3060/6055

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 1514/427,3060/6055

Given fractions are 1514/427,3060/6055

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 1514,3060

Greatest Common Factor of Numerators i.e. GCF of 1514,3060 is 2 .

LCM of Denominators means LCM of 427,6055 as per the given fractions.

LCM of 427,6055 is 369355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1514,3060

GCF of Fractions 1514/427,3060/6055 is 2/369355

2 1514, 3060
757, 1530

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

Greatest Common Factor of 1514,3060 By Matching Biggest Common Factor Method

Greatest Common Factor of 1514,3060 By Matching Biggest Common Factor Method

Factors of 1514

List of positive integer factors of 1514 that divides 1514 without a remainder.

1,2,757,1514

Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1,2,3,4,5,6,9,10,12,15,17,18,20,30,34,36,45,51,60,68,85,90,102,153,170,180,204,255,306,340,510,612,765,1020,1530,3060

Greatest Common Factor

We found the factors 1514,3060 . The biggest common factor number is the GCF number.
So the greatest common factor 1514,3060 is 2.

Lets's calculate LCM of 427,6055

7 427, 6055
61, 865

∴ So the LCM of the given numbers is 7 x 61 x 865 = 369355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/369355

Therefore, the GCF of Fractions 1514/427,3060/6055 is 2/369355

Least Common Multiple of 427,6055 with GCF Formula

Least Common Multiple of 427,6055 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 427,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,6055) = 7

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

GCF(427,6055) x common factors =7 x 1 = 7

LCM(427,6055) = ( 427 × 6055 ) / 7

LCM(427,6055) = 2585485 / 7

LCM(427,6055) = 369355


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 1514/427, 3060/6055

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 1514/427, 3060/6055?

Answer: GCF of Numerators as per given numbers 1514/427, 3060/6055 is

GCF of Numerators i.e. for 1514,3060 is 2

LCM of denominators i.e. for 427,6055 is 369355.

Thus, GCF of Fractions is 2/369355.Finally, GCF of Fractions for 1514/427, 3060/6055 is 2/369355.