Online GCD Calculator is useful to find the GCD of 360, 557, 890, 747 quickly. Get the easiest ways to solve the greatest common divisor of 360, 557, 890, 747 i.e 1 in different methods as follows.
Given Input numbers are 360, 557, 890, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (360, 557, 890, 747) = 1.
Given numbers are 360, 557, 890, 747
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 557 are 557
Prime factors of 890 are 2 x 5 x 89
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 360, 557, 890, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 557) = 200520
GCD(360, 557) = ( 360 x 557 ) / 200520
= 360 / 557
= 360
Step2:
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
= 1 / 890
= 1
Step3:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
So, Greatest Common Divisor of 360, 557, 890, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 557, 890, 747
The greatest common divisor of numbers 360, 557, 890, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 557, 890, 747 is 1.
1. What is the GCD of 360, 557, 890, 747?
GCD of given numbers 360, 557, 890, 747 is 1
2. How to calculate the greatest common divisor of 360, 557, 890, 747?
We can find the highest common divisor of 360, 557, 890, 747 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 360, 557, 890, 747 i.e 1.
3. How can I use the GCD of 360, 557, 890, 747Calculator?
Out the numbers 360, 557, 890, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.