Online GCD Calculator is useful to find the GCD of 181, 687, 354, 972 quickly. Get the easiest ways to solve the greatest common divisor of 181, 687, 354, 972 i.e 1 in different methods as follows.
Given Input numbers are 181, 687, 354, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 181 :
The positive integer divisors of 181 that completely divides 181 are.
1, 181
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (181, 687, 354, 972) = 1.
Given numbers are 181, 687, 354, 972
The list of prime factors of all numbers are
Prime factors of 181 are 181
Prime factors of 687 are 3 x 229
Prime factors of 354 are 2 x 3 x 59
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 181, 687, 354, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(181, 687) = 124347
GCD(181, 687) = ( 181 x 687 ) / 124347
= 181 / 687
= 181
Step2:
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
= 1 / 354
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 181, 687, 354, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 181, 687, 354, 972
The greatest common divisor of numbers 181, 687, 354, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 181, 687, 354, 972 is 1.
1. What is the GCD of 181, 687, 354, 972?
GCD of given numbers 181, 687, 354, 972 is 1
2. How to calculate the greatest common divisor of 181, 687, 354, 972?
We can find the highest common divisor of 181, 687, 354, 972 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 181, 687, 354, 972 i.e 1.
3. How can I use the GCD of 181, 687, 354, 972Calculator?
Out the numbers 181, 687, 354, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.