Greatest Common Factor of 2648/205, 2684/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2648/205, 2684/774

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 2648/205,2684/774

Given fractions are 2648/205,2684/774

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 2648,2684

Greatest Common Factor of Numerators i.e. GCF of 2648,2684 is 4 .

LCM of Denominators means LCM of 205,774 as per the given fractions.

LCM of 205,774 is 158670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2648,2684

GCF of Fractions 2648/205,2684/774 is 4/158670

2 2648, 2684
2 1324, 1342
662, 671

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2648,2684 By Matching Biggest Common Factor Method

Greatest Common Factor of 2648,2684 By Matching Biggest Common Factor Method

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1,2,4,11,22,44,61,122,244,671,1342,2684

Greatest Common Factor

We found the factors 2648,2684 . The biggest common factor number is the GCF number.
So the greatest common factor 2648,2684 is 4.

Lets's calculate LCM of 205,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 158670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/158670

Therefore, the GCF of Fractions 2648/205,2684/774 is 4/158670

Least Common Multiple of 205,774 with GCF Formula

Least Common Multiple of 205,774 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 205,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,774) = 1

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

GCF(205,774) x common factors =1 x 1 = 1

LCM(205,774) = ( 205 × 774 ) / 1

LCM(205,774) = 158670 / 1

LCM(205,774) = 158670


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 2648/205, 2684/774

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 2648/205, 2684/774?

Answer: GCF of Numerators as per given numbers 2648/205, 2684/774 is

GCF of Numerators i.e. for 2648,2684 is 4

LCM of denominators i.e. for 205,774 is 158670.

Thus, GCF of Fractions is 4/158670.Finally, GCF of Fractions for 2648/205, 2684/774 is 4/158670.