Online GCD Calculator is useful to find the GCD of 750, 567, 756, 988 quickly. Get the easiest ways to solve the greatest common divisor of 750, 567, 756, 988 i.e 1 in different methods as follows.
Given Input numbers are 750, 567, 756, 988
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 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (750, 567, 756, 988) = 1.
Given numbers are 750, 567, 756, 988
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 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 988 are 2 x 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 750, 567, 756, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 567) = 141750
GCD(750, 567) = ( 750 x 567 ) / 141750
= 750 / 567
= 750
Step2:
LCM(3, 756) = 756
GCD(3, 756) = ( 3 x 756 ) / 756
= 3 / 756
= 3
Step3:
LCM(3, 988) = 2964
GCD(3, 988) = ( 3 x 988 ) / 2964
= 3 / 988
= 3
So, Greatest Common Divisor of 750, 567, 756, 988 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 567, 756, 988
The greatest common divisor of numbers 750, 567, 756, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 567, 756, 988 is 1.
1. What is the GCD of 750, 567, 756, 988?
GCD of given numbers 750, 567, 756, 988 is 1
2. How to calculate the greatest common divisor of 750, 567, 756, 988?
We can find the highest common divisor of 750, 567, 756, 988 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, 567, 756, 988 i.e 1.
3. How can I use the GCD of 750, 567, 756, 988Calculator?
Out the numbers 750, 567, 756, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.