GCD of 60, 35, 78, 45 Calculator

Given Input numbers are 60, 35, 78, 45

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 60, 35, 78, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 35, 78, 45 is 1.

Therefore, GCD of numbers 60, 35, 78, 45 is 1

Given Input Data is 60, 35, 78, 45

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 35 is 5 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 45 is 3 x 3 x 5

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(60, 35) = 420

GCD(60, 35) = ( 60 x 35 ) / 420

GCD(60, 35) = 2100 / 420

GCD(60, 35) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 78

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

LCM(5, 78) = 390

GCD(5, 78) = ( 5 x 78 ) / 390

GCD(5, 78) = 390 / 390

GCD(5, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 60, 35, 78, 45 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 23, 61, 31
• GCD of 57, 83, 41, 65
• GCD of 71, 55, 42, 24
• GCD of 77, 14, 90, 75
• GCD of 91, 68, 52, 86

1. What is the GCD of 60, 35, 78, 45?

GCD of 60, 35, 78, 45 is 1

2. Where do I get the detailed procedure to find GCD of 60, 35, 78, 45?

You can find a detailed procedure to find GCD of 60, 35, 78, 45 on our page.

3. How to find GCD of 60, 35, 78, 45 on a calculator?

You can find the GCD of 60, 35, 78, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.