Online GCD Calculator is useful to find the GCD of 900, 474, 972, 739 quickly. Get the easiest ways to solve the greatest common divisor of 900, 474, 972, 739 i.e 1 in different methods as follows.
Given Input numbers are 900, 474, 972, 739
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
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 739 :
The positive integer divisors of 739 that completely divides 739 are.
1, 739
GCD of numbers is the greatest common divisor
So, the GCD (900, 474, 972, 739) = 1.
Given numbers are 900, 474, 972, 739
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 739 are 739
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 474, 972, 739
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 474) = 71100
GCD(900, 474) = ( 900 x 474 ) / 71100
= 900 / 474
= 900
Step2:
LCM(6, 972) = 972
GCD(6, 972) = ( 6 x 972 ) / 972
= 6 / 972
= 6
Step3:
LCM(6, 739) = 4434
GCD(6, 739) = ( 6 x 739 ) / 4434
= 6 / 739
= 6
So, Greatest Common Divisor of 900, 474, 972, 739 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 474, 972, 739
The greatest common divisor of numbers 900, 474, 972, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 474, 972, 739 is 1.
1. What is the GCD of 900, 474, 972, 739?
GCD of given numbers 900, 474, 972, 739 is 1
2. How to calculate the greatest common divisor of 900, 474, 972, 739?
We can find the highest common divisor of 900, 474, 972, 739 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 900, 474, 972, 739 i.e 1.
3. How can I use the GCD of 900, 474, 972, 739Calculator?
Out the numbers 900, 474, 972, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.