GCD of 35, 63, 84, 77 Calculator

Given Input numbers are 35, 63, 84, 77

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

Divisors of 35

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

1, 5, 7, 35

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 35, 63, 84, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 63, 84, 77 is 7.

Therefore, GCD of numbers 35, 63, 84, 77 is 7

Given Input Data is 35, 63, 84, 77

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 63 is 3 x 3 x 7

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

Prime Factorization of 77 is 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(35, 63) = 315

GCD(35, 63) = ( 35 x 63 ) / 315

GCD(35, 63) = 2205 / 315

GCD(35, 63) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 84

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

LCM(7, 84) = 84

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

GCD(7, 84) = 588 / 84

GCD(7, 84) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 77

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

LCM(7, 77) = 77

GCD(7, 77) = ( 7 x 77 ) / 77

GCD(7, 77) = 539 / 77

GCD(7, 77) = 7

GCD of 35, 63, 84, 77 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 50, 38, 36
• GCD of 29, 52, 89, 95
• GCD of 42, 17, 43, 17
• GCD of 48, 73, 32, 86
• GCD of 60, 80, 94, 41

1. What is the GCD of 35, 63, 84, 77?

GCD of 35, 63, 84, 77 is 7

2. Where do I get the detailed procedure to find GCD of 35, 63, 84, 77?

You can find a detailed procedure to find GCD of 35, 63, 84, 77 on our page.

3. How to find GCD of 35, 63, 84, 77 on a calculator?

You can find the GCD of 35, 63, 84, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.