Online GCD Calculator is useful to find the GCD of 429, 938, 742, 213 quickly. Get the easiest ways to solve the greatest common divisor of 429, 938, 742, 213 i.e 1 in different methods as follows.
Given Input numbers are 429, 938, 742, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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 (429, 938, 742, 213) = 1.
Given numbers are 429, 938, 742, 213
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 938 are 2 x 7 x 67
Prime factors of 742 are 2 x 7 x 53
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 429, 938, 742, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 938) = 402402
GCD(429, 938) = ( 429 x 938 ) / 402402
= 429 / 938
= 429
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 429, 938, 742, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 938, 742, 213
The greatest common divisor of numbers 429, 938, 742, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 938, 742, 213 is 1.
1. What is the GCD of 429, 938, 742, 213?
GCD of given numbers 429, 938, 742, 213 is 1
2. How to calculate the greatest common divisor of 429, 938, 742, 213?
We can find the highest common divisor of 429, 938, 742, 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 429, 938, 742, 213 i.e 1.
3. How can I use the GCD of 429, 938, 742, 213Calculator?
Out the numbers 429, 938, 742, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.