Greatest Common Factor of 2416/677, 3372/1107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2416/677, 3372/1107

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 2416/677,3372/1107

Given fractions are 2416/677,3372/1107

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 2416,3372

Greatest Common Factor of Numerators i.e. GCF of 2416,3372 is 4 .

LCM of Denominators means LCM of 677,1107 as per the given fractions.

LCM of 677,1107 is 749439 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2416,3372

GCF of Fractions 2416/677,3372/1107 is 4/749439

2 2416, 3372
2 1208, 1686
604, 843

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

Greatest Common Factor of 2416,3372 By Matching Biggest Common Factor Method

Greatest Common Factor of 2416,3372 By Matching Biggest Common Factor Method

Factors of 2416

List of positive integer factors of 2416 that divides 2416 without a remainder.

1,2,4,8,16,151,302,604,1208,2416

Factors of 3372

List of positive integer factors of 3372 that divides 3372 without a remainder.

1,2,3,4,6,12,281,562,843,1124,1686,3372

Greatest Common Factor

We found the factors 2416,3372 . The biggest common factor number is the GCF number.
So the greatest common factor 2416,3372 is 4.

Lets's calculate LCM of 677,1107

Given numbers has no common factors except 1. So, there LCM is their product i.e 749439

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/749439

Therefore, the GCF of Fractions 2416/677,3372/1107 is 4/749439

Least Common Multiple of 677,1107 with GCF Formula

Least Common Multiple of 677,1107 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 677,1107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,1107) = 1

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

GCF(677,1107) x common factors =1 x 1 = 1

LCM(677,1107) = ( 677 × 1107 ) / 1

LCM(677,1107) = 749439 / 1

LCM(677,1107) = 749439


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 2416/677, 3372/1107

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 2416/677, 3372/1107?

Answer: GCF of Numerators as per given numbers 2416/677, 3372/1107 is

GCF of Numerators i.e. for 2416,3372 is 4

LCM of denominators i.e. for 677,1107 is 749439.

Thus, GCF of Fractions is 4/749439.Finally, GCF of Fractions for 2416/677, 3372/1107 is 4/749439.