Online GCD Calculator is useful to find the GCD of 642, 197, 138, 224 quickly. Get the easiest ways to solve the greatest common divisor of 642, 197, 138, 224 i.e 1 in different methods as follows.
Given Input numbers are 642, 197, 138, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 197 :
The positive integer divisors of 197 that completely divides 197 are.
1, 197
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (642, 197, 138, 224) = 1.
Given numbers are 642, 197, 138, 224
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 197 are 197
Prime factors of 138 are 2 x 3 x 23
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 197, 138, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 197) = 126474
GCD(642, 197) = ( 642 x 197 ) / 126474
= 642 / 197
= 642
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 642, 197, 138, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 197, 138, 224
The greatest common divisor of numbers 642, 197, 138, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 197, 138, 224 is 1.
1. What is the GCD of 642, 197, 138, 224?
GCD of given numbers 642, 197, 138, 224 is 1
2. How to calculate the greatest common divisor of 642, 197, 138, 224?
We can find the highest common divisor of 642, 197, 138, 224 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 642, 197, 138, 224 i.e 1.
3. How can I use the GCD of 642, 197, 138, 224Calculator?
Out the numbers 642, 197, 138, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.