Online GCD Calculator is useful to find the GCD of 438, 109, 722, 642 quickly. Get the easiest ways to solve the greatest common divisor of 438, 109, 722, 642 i.e 1 in different methods as follows.
Given Input numbers are 438, 109, 722, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (438, 109, 722, 642) = 1.
Given numbers are 438, 109, 722, 642
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 109 are 109
Prime factors of 722 are 2 x 19 x 19
Prime factors of 642 are 2 x 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 438, 109, 722, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 109) = 47742
GCD(438, 109) = ( 438 x 109 ) / 47742
= 438 / 109
= 438
Step2:
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
= 1 / 722
= 1
Step3:
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
= 1 / 642
= 1
So, Greatest Common Divisor of 438, 109, 722, 642 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 109, 722, 642
The greatest common divisor of numbers 438, 109, 722, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 109, 722, 642 is 1.
1. What is the GCD of 438, 109, 722, 642?
GCD of given numbers 438, 109, 722, 642 is 1
2. How to calculate the greatest common divisor of 438, 109, 722, 642?
We can find the highest common divisor of 438, 109, 722, 642 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 438, 109, 722, 642 i.e 1.
3. How can I use the GCD of 438, 109, 722, 642Calculator?
Out the numbers 438, 109, 722, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.