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 879, 423, 690, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 879, 423, 690, 737 is 1
GCD(879, 423, 690, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 879, 423, 690, 737 is 1
GCD(879, 423, 690, 737) = 1
Given Input numbers are 879, 423, 690, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 879, 423, 690, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 423, 690, 737 is 1.
Therefore, GCD of numbers 879, 423, 690, 737 is 1
Given Input Data is 879, 423, 690, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 879 is 3 x 293
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 737 is 11 x 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(879, 423) = 123939
GCD(879, 423) = ( 879 x 423 ) / 123939
GCD(879, 423) = 371817 / 123939
GCD(879, 423) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 690) = 690
GCD(3, 690) = ( 3 x 690 ) / 690
GCD(3, 690) = 2070 / 690
GCD(3, 690) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 737) = 2211
GCD(3, 737) = ( 3 x 737 ) / 2211
GCD(3, 737) = 2211 / 2211
GCD(3, 737) = 1
GCD of 879, 423, 690, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 879, 423, 690, 737?
GCD of 879, 423, 690, 737 is 1
2. Where do I get the detailed procedure to find GCD of 879, 423, 690, 737?
You can find a detailed procedure to find GCD of 879, 423, 690, 737 on our page.
3. How to find GCD of 879, 423, 690, 737 on a calculator?
You can find the GCD of 879, 423, 690, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.