Online GCD Calculator is useful to find the GCD of 755, 198, 607, 972 quickly. Get the easiest ways to solve the greatest common divisor of 755, 198, 607, 972 i.e 1 in different methods as follows.
Given Input numbers are 755, 198, 607, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 607 :
The positive integer divisors of 607 that completely divides 607 are.
1, 607
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 (755, 198, 607, 972) = 1.
Given numbers are 755, 198, 607, 972
The list of prime factors of all numbers are
Prime factors of 755 are 5 x 151
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 607 are 607
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 755, 198, 607, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(755, 198) = 149490
GCD(755, 198) = ( 755 x 198 ) / 149490
= 755 / 198
= 755
Step2:
LCM(1, 607) = 607
GCD(1, 607) = ( 1 x 607 ) / 607
= 1 / 607
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 755, 198, 607, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 755, 198, 607, 972
The greatest common divisor of numbers 755, 198, 607, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 198, 607, 972 is 1.
1. What is the GCD of 755, 198, 607, 972?
GCD of given numbers 755, 198, 607, 972 is 1
2. How to calculate the greatest common divisor of 755, 198, 607, 972?
We can find the highest common divisor of 755, 198, 607, 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 755, 198, 607, 972 i.e 1.
3. How can I use the GCD of 755, 198, 607, 972Calculator?
Out the numbers 755, 198, 607, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.