Greatest Common Factor of 465/65, 862/78, 900/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/65, 862/78, 900/706

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 465/65,862/78,900/706

Given fractions are 465/65,862/78,900/706

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 465,862,900

Greatest Common Factor of Numerators i.e. GCF of 465,862,900 is 1 .

LCM of Denominators means LCM of 65,78,706 as per the given fractions.

LCM of 65,78,706 is 137670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,862,900

GCF of Fractions 465/65,862/78,900/706 is 1/137670

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 465,862,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,862,900 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 465,862,900 . The biggest common factor number is the GCF number.
So the greatest common factor 465,862,900 is 1.

Lets's calculate LCM of 65,78,706

2 65, 78, 706
13 65, 39, 353
5, 3, 353

∴ So the LCM of the given numbers is 2 x 13 x 5 x 3 x 353 = 137670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137670

Therefore, the GCF of Fractions 465/65,862/78,900/706 is 1/137670

Least Common Multiple of 65,78,706 with GCF Formula

Least Common Multiple of 65,78,706 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 65,78,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,78,706) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(65,78,706) x common factors =1 x 26 = 26

LCM(65,78,706) = ( 65 × 78 × 706 ) / 26

LCM(65,78,706) = 3579420 / 26

LCM(65,78,706) = 137670


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 465/65, 862/78, 900/706

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 465/65, 862/78, 900/706?

Answer: GCF of Numerators as per given numbers 465/65, 862/78, 900/706 is

GCF of Numerators i.e. for 465,862,900 is 1

LCM of denominators i.e. for 65,78,706 is 137670.

Thus, GCF of Fractions is 1/137670.Finally, GCF of Fractions for 465/65, 862/78, 900/706 is 1/137670.