Online GCD Calculator is useful to find the GCD of 750, 420, 693, 904 quickly. Get the easiest ways to solve the greatest common divisor of 750, 420, 693, 904 i.e 1 in different methods as follows.
Given Input numbers are 750, 420, 693, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (750, 420, 693, 904) = 1.
Given numbers are 750, 420, 693, 904
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 904 are 2 x 2 x 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 750, 420, 693, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 420) = 10500
GCD(750, 420) = ( 750 x 420 ) / 10500
= 750 / 420
= 750
Step2:
LCM(30, 693) = 6930
GCD(30, 693) = ( 30 x 693 ) / 6930
= 30 / 693
= 30
Step3:
LCM(3, 904) = 2712
GCD(3, 904) = ( 3 x 904 ) / 2712
= 3 / 904
= 3
So, Greatest Common Divisor of 750, 420, 693, 904 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 420, 693, 904
The greatest common divisor of numbers 750, 420, 693, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 420, 693, 904 is 1.
1. What is the GCD of 750, 420, 693, 904?
GCD of given numbers 750, 420, 693, 904 is 1
2. How to calculate the greatest common divisor of 750, 420, 693, 904?
We can find the highest common divisor of 750, 420, 693, 904 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 750, 420, 693, 904 i.e 1.
3. How can I use the GCD of 750, 420, 693, 904Calculator?
Out the numbers 750, 420, 693, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.