GCD of 46, 70, 64, 99 Calculator

Given Input numbers are 46, 70, 64, 99

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 46, 70, 64, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 70, 64, 99 is 1.

Therefore, GCD of numbers 46, 70, 64, 99 is 1

Given Input Data is 46, 70, 64, 99

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 46 is 2 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 99 is 3 x 3 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(46, 70) = 1610

GCD(46, 70) = ( 46 x 70 ) / 1610

GCD(46, 70) = 3220 / 1610

GCD(46, 70) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

GCD of 46, 70, 64, 99 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 65, 66, 54
• GCD of 32, 98, 96, 91
• GCD of 30, 83, 10, 69
• GCD of 64, 66, 20, 71
• GCD of 98, 45, 88, 52

1. What is the GCD of 46, 70, 64, 99?

GCD of 46, 70, 64, 99 is 1

2. Where do I get the detailed procedure to find GCD of 46, 70, 64, 99?

You can find a detailed procedure to find GCD of 46, 70, 64, 99 on our page.

3. How to find GCD of 46, 70, 64, 99 on a calculator?

You can find the GCD of 46, 70, 64, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.