GCD of 84, 7, 39, 35 Calculator

Given Input numbers are 84, 7, 39, 35

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 7

List of positive integer divisors of 7 that divides 7 without a remainder.

1, 7

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 35

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

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 84, 7, 39, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 7, 39, 35 is 1.

Therefore, GCD of numbers 84, 7, 39, 35 is 1

Given Input Data is 84, 7, 39, 35

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 7 is 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 35 is 5 x 7

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(84, 7) = 84

GCD(84, 7) = ( 84 x 7 ) / 84

GCD(84, 7) = 588 / 84

GCD(84, 7) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 39

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

LCM(7, 39) = 273

GCD(7, 39) = ( 7 x 39 ) / 273

GCD(7, 39) = 273 / 273

GCD(7, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

GCD of 84, 7, 39, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 9, 43, 41
• GCD of 63, 8, 97, 27
• GCD of 71, 7, 65, 45
• GCD of 95, 2, 12, 78
• GCD of 82, 2, 79, 90

1. What is the GCD of 84, 7, 39, 35?

GCD of 84, 7, 39, 35 is 1

2. Where do I get the detailed procedure to find GCD of 84, 7, 39, 35?

You can find a detailed procedure to find GCD of 84, 7, 39, 35 on our page.

3. How to find GCD of 84, 7, 39, 35 on a calculator?

You can find the GCD of 84, 7, 39, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.