Greatest Common Factor of 4080/358, 2155/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4080/358, 2155/964

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 4080/358,2155/964

Given fractions are 4080/358,2155/964

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 4080,2155

Greatest Common Factor of Numerators i.e. GCF of 4080,2155 is 5 .

LCM of Denominators means LCM of 358,964 as per the given fractions.

LCM of 358,964 is 172556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4080,2155

GCF of Fractions 4080/358,2155/964 is 5/172556

5 4080, 2155
816, 431

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 4080,2155 By Matching Biggest Common Factor Method

Greatest Common Factor of 4080,2155 By Matching Biggest Common Factor Method

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1,5,431,2155

Greatest Common Factor

We found the factors 4080,2155 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,2155 is 5.

Lets's calculate LCM of 358,964

2 358, 964
179, 482

∴ So the LCM of the given numbers is 2 x 179 x 482 = 172556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/172556

Therefore, the GCF of Fractions 4080/358,2155/964 is 5/172556

Least Common Multiple of 358,964 with GCF Formula

Least Common Multiple of 358,964 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 358,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,964) = 2

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

GCF(358,964) x common factors =2 x 1 = 2

LCM(358,964) = ( 358 × 964 ) / 2

LCM(358,964) = 345112 / 2

LCM(358,964) = 172556


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 4080/358, 2155/964

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 4080/358, 2155/964?

Answer: GCF of Numerators as per given numbers 4080/358, 2155/964 is

GCF of Numerators i.e. for 4080,2155 is 5

LCM of denominators i.e. for 358,964 is 172556.

Thus, GCF of Fractions is 5/172556.Finally, GCF of Fractions for 4080/358, 2155/964 is 5/172556.