Online GCD Calculator is useful to find the GCD of 987, 759, 970, 506 quickly. Get the easiest ways to solve the greatest common divisor of 987, 759, 970, 506 i.e 1 in different methods as follows.
Given Input numbers are 987, 759, 970, 506
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
GCD of numbers is the greatest common divisor
So, the GCD (987, 759, 970, 506) = 1.
Given numbers are 987, 759, 970, 506
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 759 are 3 x 11 x 23
Prime factors of 970 are 2 x 5 x 97
Prime factors of 506 are 2 x 11 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 759, 970, 506
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 759) = 249711
GCD(987, 759) = ( 987 x 759 ) / 249711
= 987 / 759
= 987
Step2:
LCM(3, 970) = 2910
GCD(3, 970) = ( 3 x 970 ) / 2910
= 3 / 970
= 3
Step3:
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
= 1 / 506
= 1
So, Greatest Common Divisor of 987, 759, 970, 506 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 759, 970, 506
The greatest common divisor of numbers 987, 759, 970, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 759, 970, 506 is 1.
1. What is the GCD of 987, 759, 970, 506?
GCD of given numbers 987, 759, 970, 506 is 1
2. How to calculate the greatest common divisor of 987, 759, 970, 506?
We can find the highest common divisor of 987, 759, 970, 506 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 987, 759, 970, 506 i.e 1.
3. How can I use the GCD of 987, 759, 970, 506Calculator?
Out the numbers 987, 759, 970, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.