Greatest Common Factor of 4410/378, 4445/3906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4410/378, 4445/3906

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 4410/378,4445/3906

Given fractions are 4410/378,4445/3906

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 4410,4445

Greatest Common Factor of Numerators i.e. GCF of 4410,4445 is 35 .

LCM of Denominators means LCM of 378,3906 as per the given fractions.

LCM of 378,3906 is 11718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4410,4445

GCF of Fractions 4410/378,4445/3906 is 35/11718

5 4410, 4445
7 882, 889
126, 127

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 4410,4445 By Matching Biggest Common Factor Method

Greatest Common Factor of 4410,4445 By Matching Biggest Common Factor Method

Factors of 4410

List of positive integer factors of 4410 that divides 4410 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410

Factors of 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1,5,7,35,127,635,889,4445

Greatest Common Factor

We found the factors 4410,4445 . The biggest common factor number is the GCF number.
So the greatest common factor 4410,4445 is 35.

Lets's calculate LCM of 378,3906

2 378, 3906
3 189, 1953
3 63, 651
7 21, 217
3, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 3 x 31 = 11718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/11718

Therefore, the GCF of Fractions 4410/378,4445/3906 is 35/11718

Least Common Multiple of 378,3906 with GCF Formula

Least Common Multiple of 378,3906 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 378,3906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,3906) = 126

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

GCF(378,3906) x common factors =126 x 1 = 126

LCM(378,3906) = ( 378 × 3906 ) / 126

LCM(378,3906) = 1476468 / 126

LCM(378,3906) = 11718


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 4410/378, 4445/3906

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 4410/378, 4445/3906?

Answer: GCF of Numerators as per given numbers 4410/378, 4445/3906 is

GCF of Numerators i.e. for 4410,4445 is 35

LCM of denominators i.e. for 378,3906 is 11718.

Thus, GCF of Fractions is 35/11718.Finally, GCF of Fractions for 4410/378, 4445/3906 is 35/11718.