Greatest Common Factor of 2768/143, 3249/7888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2768/143, 3249/7888

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 2768/143,3249/7888

Given fractions are 2768/143,3249/7888

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 2768,3249

Greatest Common Factor of Numerators i.e. GCF of 2768,3249 is 1 .

LCM of Denominators means LCM of 143,7888 as per the given fractions.

LCM of 143,7888 is 1127984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2768,3249

GCF of Fractions 2768/143,3249/7888 is 1/1127984

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

Greatest Common Factor of 2768,3249 By Matching Biggest Common Factor Method

Greatest Common Factor of 2768,3249 By Matching Biggest Common Factor Method

Factors of 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1,2,4,8,16,173,346,692,1384,2768

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1,3,9,19,57,171,361,1083,3249

Greatest Common Factor

We found the factors 2768,3249 . The biggest common factor number is the GCF number.
So the greatest common factor 2768,3249 is 1.

Lets's calculate LCM of 143,7888

Given numbers has no common factors except 1. So, there LCM is their product i.e 1127984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127984

Therefore, the GCF of Fractions 2768/143,3249/7888 is 1/1127984

Least Common Multiple of 143,7888 with GCF Formula

Least Common Multiple of 143,7888 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 143,7888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,7888) = 1

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

GCF(143,7888) x common factors =1 x 1 = 1

LCM(143,7888) = ( 143 × 7888 ) / 1

LCM(143,7888) = 1127984 / 1

LCM(143,7888) = 1127984


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 2768/143, 3249/7888

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 2768/143, 3249/7888?

Answer: GCF of Numerators as per given numbers 2768/143, 3249/7888 is

GCF of Numerators i.e. for 2768,3249 is 1

LCM of denominators i.e. for 143,7888 is 1127984.

Thus, GCF of Fractions is 1/1127984.Finally, GCF of Fractions for 2768/143, 3249/7888 is 1/1127984.