Greatest Common Factor of 2006/74, 2057/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2006/74, 2057/628

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 2006/74,2057/628

Given fractions are 2006/74,2057/628

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 2006,2057

Greatest Common Factor of Numerators i.e. GCF of 2006,2057 is 17 .

LCM of Denominators means LCM of 74,628 as per the given fractions.

LCM of 74,628 is 23236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2006,2057

GCF of Fractions 2006/74,2057/628 is 17/23236

17 2006, 2057
118, 121

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 2006,2057 By Matching Biggest Common Factor Method

Greatest Common Factor of 2006,2057 By Matching Biggest Common Factor Method

Factors of 2006

List of positive integer factors of 2006 that divides 2006 without a remainder.

1,2,17,34,59,118,1003,2006

Factors of 2057

List of positive integer factors of 2057 that divides 2057 without a remainder.

1,11,17,121,187,2057

Greatest Common Factor

We found the factors 2006,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 2006,2057 is 17.

Lets's calculate LCM of 74,628

2 74, 628
37, 314

∴ So the LCM of the given numbers is 2 x 37 x 314 = 23236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/23236

Therefore, the GCF of Fractions 2006/74,2057/628 is 17/23236

Least Common Multiple of 74,628 with GCF Formula

Least Common Multiple of 74,628 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 74,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,628) = 2

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

GCF(74,628) x common factors =2 x 1 = 2

LCM(74,628) = ( 74 × 628 ) / 2

LCM(74,628) = 46472 / 2

LCM(74,628) = 23236


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 2006/74, 2057/628

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 2006/74, 2057/628?

Answer: GCF of Numerators as per given numbers 2006/74, 2057/628 is

GCF of Numerators i.e. for 2006,2057 is 17

LCM of denominators i.e. for 74,628 is 23236.

Thus, GCF of Fractions is 17/23236.Finally, GCF of Fractions for 2006/74, 2057/628 is 17/23236.