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 642, 707, 21, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 707, 21, 140 is 1
GCD(642, 707, 21, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 707, 21, 140 is 1
GCD(642, 707, 21, 140) = 1
Given Input numbers are 642, 707, 21, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 642, 707, 21, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 707, 21, 140 is 1.
Therefore, GCD of numbers 642, 707, 21, 140 is 1
Given Input Data is 642, 707, 21, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 707 is 7 x 101
Prime Factorization of 21 is 3 x 7
Prime Factorization of 140 is 2 x 2 x 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(642, 707) = 453894
GCD(642, 707) = ( 642 x 707 ) / 453894
GCD(642, 707) = 453894 / 453894
GCD(642, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 642, 707, 21, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 707, 21, 140?
GCD of 642, 707, 21, 140 is 1
2. Where do I get the detailed procedure to find GCD of 642, 707, 21, 140?
You can find a detailed procedure to find GCD of 642, 707, 21, 140 on our page.
3. How to find GCD of 642, 707, 21, 140 on a calculator?
You can find the GCD of 642, 707, 21, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.