GCD of 70, 60, 19, 67 Calculator

Given Input numbers are 70, 60, 19, 67

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

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 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 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 70, 60, 19, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 60, 19, 67 is 1.

Therefore, GCD of numbers 70, 60, 19, 67 is 1

Given Input Data is 70, 60, 19, 67

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

Prime Factorization of 70 is 2 x 5 x 7

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

Prime Factorization of 19 is 19

Prime Factorization of 67 is 67

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(70, 60) = 420

GCD(70, 60) = ( 70 x 60 ) / 420

GCD(70, 60) = 4200 / 420

GCD(70, 60) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 19

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

LCM(10, 19) = 190

GCD(10, 19) = ( 10 x 19 ) / 190

GCD(10, 19) = 190 / 190

GCD(10, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 70, 60, 19, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 98, 32, 89
• GCD of 68, 12, 21, 86
• GCD of 54, 96, 91, 16
• GCD of 31, 84, 78, 54
• GCD of 38, 21, 35, 69

1. What is the GCD of 70, 60, 19, 67?

GCD of 70, 60, 19, 67 is 1

2. Where do I get the detailed procedure to find GCD of 70, 60, 19, 67?

You can find a detailed procedure to find GCD of 70, 60, 19, 67 on our page.

3. How to find GCD of 70, 60, 19, 67 on a calculator?

You can find the GCD of 70, 60, 19, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.