Greatest Common Factor of 3465/648, 9000/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3465/648, 9000/996

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 3465/648,9000/996

Given fractions are 3465/648,9000/996

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 3465,9000

Greatest Common Factor of Numerators i.e. GCF of 3465,9000 is 45 .

LCM of Denominators means LCM of 648,996 as per the given fractions.

LCM of 648,996 is 53784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3465,9000

GCF of Fractions 3465/648,9000/996 is 45/53784

3 3465, 9000
3 1155, 3000
5 385, 1000
77, 200

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 3465,9000 By Matching Biggest Common Factor Method

Greatest Common Factor of 3465,9000 By Matching Biggest Common Factor Method

Factors of 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1,3,5,7,9,11,15,21,33,35,45,55,63,77,99,105,165,231,315,385,495,693,1155,3465

Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Greatest Common Factor

We found the factors 3465,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 3465,9000 is 45.

Lets's calculate LCM of 648,996

2 648, 996
2 324, 498
3 162, 249
54, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 54 x 83 = 53784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/53784

Therefore, the GCF of Fractions 3465/648,9000/996 is 45/53784

Least Common Multiple of 648,996 with GCF Formula

Least Common Multiple of 648,996 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 648,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,996) = 12

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

GCF(648,996) x common factors =12 x 1 = 12

LCM(648,996) = ( 648 × 996 ) / 12

LCM(648,996) = 645408 / 12

LCM(648,996) = 53784


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 3465/648, 9000/996

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 3465/648, 9000/996?

Answer: GCF of Numerators as per given numbers 3465/648, 9000/996 is

GCF of Numerators i.e. for 3465,9000 is 45

LCM of denominators i.e. for 648,996 is 53784.

Thus, GCF of Fractions is 45/53784.Finally, GCF of Fractions for 3465/648, 9000/996 is 45/53784.