Greatest Common Factor of 9390/440, 3420/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9390/440, 3420/869

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 9390/440,3420/869

Given fractions are 9390/440,3420/869

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 9390,3420

Greatest Common Factor of Numerators i.e. GCF of 9390,3420 is 30 .

LCM of Denominators means LCM of 440,869 as per the given fractions.

LCM of 440,869 is 34760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9390,3420

GCF of Fractions 9390/440,3420/869 is 30/34760

2 9390, 3420
3 4695, 1710
5 1565, 570
313, 114

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 9390,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 9390,3420 By Matching Biggest Common Factor Method

Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 9390,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 9390,3420 is 30.

Lets's calculate LCM of 440,869

11 440, 869
40, 79

∴ So the LCM of the given numbers is 11 x 40 x 79 = 34760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/34760

Therefore, the GCF of Fractions 9390/440,3420/869 is 30/34760

Least Common Multiple of 440,869 with GCF Formula

Least Common Multiple of 440,869 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 440,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,869) = 11

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

GCF(440,869) x common factors =11 x 1 = 11

LCM(440,869) = ( 440 × 869 ) / 11

LCM(440,869) = 382360 / 11

LCM(440,869) = 34760


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 9390/440, 3420/869

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 9390/440, 3420/869?

Answer: GCF of Numerators as per given numbers 9390/440, 3420/869 is

GCF of Numerators i.e. for 9390,3420 is 30

LCM of denominators i.e. for 440,869 is 34760.

Thus, GCF of Fractions is 30/34760.Finally, GCF of Fractions for 9390/440, 3420/869 is 30/34760.