Greatest Common Factor of 4434/878, 1470/2555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4434/878, 1470/2555

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 4434/878,1470/2555

Given fractions are 4434/878,1470/2555

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 4434,1470

Greatest Common Factor of Numerators i.e. GCF of 4434,1470 is 6 .

LCM of Denominators means LCM of 878,2555 as per the given fractions.

LCM of 878,2555 is 2243290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4434,1470

GCF of Fractions 4434/878,1470/2555 is 6/2243290

2 4434, 1470
3 2217, 735
739, 245

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4434,1470 By Matching Biggest Common Factor Method

Greatest Common Factor of 4434,1470 By Matching Biggest Common Factor Method

Factors of 4434

List of positive integer factors of 4434 that divides 4434 without a remainder.

1,2,3,6,739,1478,2217,4434

Factors of 1470

List of positive integer factors of 1470 that divides 1470 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Greatest Common Factor

We found the factors 4434,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,1470 is 6.

Lets's calculate LCM of 878,2555

Given numbers has no common factors except 1. So, there LCM is their product i.e 2243290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2243290

Therefore, the GCF of Fractions 4434/878,1470/2555 is 6/2243290

Least Common Multiple of 878,2555 with GCF Formula

Least Common Multiple of 878,2555 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 878,2555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,2555) = 1

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

GCF(878,2555) x common factors =1 x 1 = 1

LCM(878,2555) = ( 878 × 2555 ) / 1

LCM(878,2555) = 2243290 / 1

LCM(878,2555) = 2243290


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 4434/878, 1470/2555

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 4434/878, 1470/2555?

Answer: GCF of Numerators as per given numbers 4434/878, 1470/2555 is

GCF of Numerators i.e. for 4434,1470 is 6

LCM of denominators i.e. for 878,2555 is 2243290.

Thus, GCF of Fractions is 6/2243290.Finally, GCF of Fractions for 4434/878, 1470/2555 is 6/2243290.