Greatest Common Factor of 2697/68, 2551/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2697/68, 2551/984

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 2697/68,2551/984

Given fractions are 2697/68,2551/984

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 2697,2551

Greatest Common Factor of Numerators i.e. GCF of 2697,2551 is 1 .

LCM of Denominators means LCM of 68,984 as per the given fractions.

LCM of 68,984 is 16728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2697,2551

GCF of Fractions 2697/68,2551/984 is 1/16728

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

Greatest Common Factor of 2697,2551 By Matching Biggest Common Factor Method

Greatest Common Factor of 2697,2551 By Matching Biggest Common Factor Method

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1,3,29,31,87,93,899,2697

Factors of 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1,2551

Greatest Common Factor

We found the factors 2697,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,2551 is 1.

Lets's calculate LCM of 68,984

2 68, 984
2 34, 492
17, 246

∴ So the LCM of the given numbers is 2 x 2 x 17 x 246 = 16728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16728

Therefore, the GCF of Fractions 2697/68,2551/984 is 1/16728

Least Common Multiple of 68,984 with GCF Formula

Least Common Multiple of 68,984 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 68,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,984) = 4

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

GCF(68,984) x common factors =4 x 1 = 4

LCM(68,984) = ( 68 × 984 ) / 4

LCM(68,984) = 66912 / 4

LCM(68,984) = 16728


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 2697/68, 2551/984

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 2697/68, 2551/984?

Answer: GCF of Numerators as per given numbers 2697/68, 2551/984 is

GCF of Numerators i.e. for 2697,2551 is 1

LCM of denominators i.e. for 68,984 is 16728.

Thus, GCF of Fractions is 1/16728.Finally, GCF of Fractions for 2697/68, 2551/984 is 1/16728.