Online GCD Calculator is useful to find the GCD of 975, 572, 742, 900 quickly. Get the easiest ways to solve the greatest common divisor of 975, 572, 742, 900 i.e 1 in different methods as follows.
Given Input numbers are 975, 572, 742, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
GCD of numbers is the greatest common divisor
So, the GCD (975, 572, 742, 900) = 1.
Given numbers are 975, 572, 742, 900
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 975, 572, 742, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 572) = 42900
GCD(975, 572) = ( 975 x 572 ) / 42900
= 975 / 572
= 975
Step2:
LCM(13, 742) = 9646
GCD(13, 742) = ( 13 x 742 ) / 9646
= 13 / 742
= 13
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 975, 572, 742, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 975, 572, 742, 900
The greatest common divisor of numbers 975, 572, 742, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 572, 742, 900 is 1.
1. What is the GCD of 975, 572, 742, 900?
GCD of given numbers 975, 572, 742, 900 is 1
2. How to calculate the greatest common divisor of 975, 572, 742, 900?
We can find the highest common divisor of 975, 572, 742, 900 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 975, 572, 742, 900 i.e 1.
3. How can I use the GCD of 975, 572, 742, 900Calculator?
Out the numbers 975, 572, 742, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.