Online GCD Calculator is useful to find the GCD of 972, 981, 102, 851 quickly. Get the easiest ways to solve the greatest common divisor of 972, 981, 102, 851 i.e 1 in different methods as follows.
Given Input numbers are 972, 981, 102, 851
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 851 :
The positive integer divisors of 851 that completely divides 851 are.
1, 23, 37, 851
GCD of numbers is the greatest common divisor
So, the GCD (972, 981, 102, 851) = 1.
Given numbers are 972, 981, 102, 851
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 981 are 3 x 3 x 109
Prime factors of 102 are 2 x 3 x 17
Prime factors of 851 are 23 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 981, 102, 851
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 981) = 105948
GCD(972, 981) = ( 972 x 981 ) / 105948
= 972 / 981
= 972
Step2:
LCM(9, 102) = 306
GCD(9, 102) = ( 9 x 102 ) / 306
= 9 / 102
= 9
Step3:
LCM(3, 851) = 2553
GCD(3, 851) = ( 3 x 851 ) / 2553
= 3 / 851
= 3
So, Greatest Common Divisor of 972, 981, 102, 851 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 981, 102, 851
The greatest common divisor of numbers 972, 981, 102, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 981, 102, 851 is 1.
1. What is the GCD of 972, 981, 102, 851?
GCD of given numbers 972, 981, 102, 851 is 1
2. How to calculate the greatest common divisor of 972, 981, 102, 851?
We can find the highest common divisor of 972, 981, 102, 851 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 972, 981, 102, 851 i.e 1.
3. How can I use the GCD of 972, 981, 102, 851Calculator?
Out the numbers 972, 981, 102, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.