Online GCD Calculator is useful to find the GCD of 972, 982, 525, 120 quickly. Get the easiest ways to solve the greatest common divisor of 972, 982, 525, 120 i.e 1 in different methods as follows.
Given Input numbers are 972, 982, 525, 120
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 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (972, 982, 525, 120) = 1.
Given numbers are 972, 982, 525, 120
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 982 are 2 x 491
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 972, 982, 525, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 982) = 477252
GCD(972, 982) = ( 972 x 982 ) / 477252
= 972 / 982
= 972
Step2:
LCM(2, 525) = 1050
GCD(2, 525) = ( 2 x 525 ) / 1050
= 2 / 525
= 2
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 972, 982, 525, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 982, 525, 120
The greatest common divisor of numbers 972, 982, 525, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 982, 525, 120 is 1.
1. What is the GCD of 972, 982, 525, 120?
GCD of given numbers 972, 982, 525, 120 is 1
2. How to calculate the greatest common divisor of 972, 982, 525, 120?
We can find the highest common divisor of 972, 982, 525, 120 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, 982, 525, 120 i.e 1.
3. How can I use the GCD of 972, 982, 525, 120Calculator?
Out the numbers 972, 982, 525, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.