Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 420, 715, 736, 641 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 715, 736, 641 is 1
GCD(420, 715, 736, 641) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 715, 736, 641 is 1
GCD(420, 715, 736, 641) = 1
Given Input numbers are 420, 715, 736, 641
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Greatest Common Divisior
We found the divisors of 420, 715, 736, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 715, 736, 641 is 1.
Therefore, GCD of numbers 420, 715, 736, 641 is 1
Given Input Data is 420, 715, 736, 641
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 641 is 641
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(420, 715) = 60060
GCD(420, 715) = ( 420 x 715 ) / 60060
GCD(420, 715) = 300300 / 60060
GCD(420, 715) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 736) = 3680
GCD(5, 736) = ( 5 x 736 ) / 3680
GCD(5, 736) = 3680 / 3680
GCD(5, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 641
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 641) = 641
GCD(1, 641) = ( 1 x 641 ) / 641
GCD(1, 641) = 641 / 641
GCD(1, 641) = 1
GCD of 420, 715, 736, 641 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 715, 736, 641?
GCD of 420, 715, 736, 641 is 1
2. Where do I get the detailed procedure to find GCD of 420, 715, 736, 641?
You can find a detailed procedure to find GCD of 420, 715, 736, 641 on our page.
3. How to find GCD of 420, 715, 736, 641 on a calculator?
You can find the GCD of 420, 715, 736, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.