Online GCD Calculator is useful to find the GCD of 645, 972, 721, 678 quickly. Get the easiest ways to solve the greatest common divisor of 645, 972, 721, 678 i.e 1 in different methods as follows.
Given Input numbers are 645, 972, 721, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
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
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (645, 972, 721, 678) = 1.
Given numbers are 645, 972, 721, 678
The list of prime factors of all numbers are
Prime factors of 645 are 3 x 5 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 721 are 7 x 103
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 645, 972, 721, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(645, 972) = 208980
GCD(645, 972) = ( 645 x 972 ) / 208980
= 645 / 972
= 645
Step2:
LCM(3, 721) = 2163
GCD(3, 721) = ( 3 x 721 ) / 2163
= 3 / 721
= 3
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 645, 972, 721, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 645, 972, 721, 678
The greatest common divisor of numbers 645, 972, 721, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 972, 721, 678 is 1.
1. What is the GCD of 645, 972, 721, 678?
GCD of given numbers 645, 972, 721, 678 is 1
2. How to calculate the greatest common divisor of 645, 972, 721, 678?
We can find the highest common divisor of 645, 972, 721, 678 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 645, 972, 721, 678 i.e 1.
3. How can I use the GCD of 645, 972, 721, 678Calculator?
Out the numbers 645, 972, 721, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.