Online GCD Calculator is useful to find the GCD of 690, 741, 832, 213 quickly. Get the easiest ways to solve the greatest common divisor of 690, 741, 832, 213 i.e 1 in different methods as follows.
Given Input numbers are 690, 741, 832, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (690, 741, 832, 213) = 1.
Given numbers are 690, 741, 832, 213
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 741 are 3 x 13 x 19
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 690, 741, 832, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 741) = 170430
GCD(690, 741) = ( 690 x 741 ) / 170430
= 690 / 741
= 690
Step2:
LCM(3, 832) = 2496
GCD(3, 832) = ( 3 x 832 ) / 2496
= 3 / 832
= 3
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 690, 741, 832, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 741, 832, 213
The greatest common divisor of numbers 690, 741, 832, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 741, 832, 213 is 1.
1. What is the GCD of 690, 741, 832, 213?
GCD of given numbers 690, 741, 832, 213 is 1
2. How to calculate the greatest common divisor of 690, 741, 832, 213?
We can find the highest common divisor of 690, 741, 832, 213 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 690, 741, 832, 213 i.e 1.
3. How can I use the GCD of 690, 741, 832, 213Calculator?
Out the numbers 690, 741, 832, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.