Online GCD Calculator is useful to find the GCD of 180, 921, 972, 783 quickly. Get the easiest ways to solve the greatest common divisor of 180, 921, 972, 783 i.e 3 in different methods as follows.
Given Input numbers are 180, 921, 972, 783
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
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 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
GCD of numbers is the greatest common divisor
So, the GCD (180, 921, 972, 783) = 3.
Given numbers are 180, 921, 972, 783
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 921 are 3 x 307
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 783 are 3 x 3 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 180, 921, 972, 783 is 3.
Given numbers are 180, 921, 972, 783
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 921) = 55260
GCD(180, 921) = ( 180 x 921 ) / 55260
= 180 / 921
= 180
Step2:
LCM(3, 972) = 972
GCD(3, 972) = ( 3 x 972 ) / 972
= 3 / 972
= 3
Step3:
LCM(3, 783) = 783
GCD(3, 783) = ( 3 x 783 ) / 783
= 3 / 783
= 3
So, Greatest Common Divisor of 180, 921, 972, 783 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 921, 972, 783
The greatest common divisor of numbers 180, 921, 972, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 921, 972, 783 is 3.
1. What is the GCD of 180, 921, 972, 783?
GCD of given numbers 180, 921, 972, 783 is 3
2. How to calculate the greatest common divisor of 180, 921, 972, 783?
We can find the highest common divisor of 180, 921, 972, 783 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 180, 921, 972, 783 i.e 3.
3. How can I use the GCD of 180, 921, 972, 783Calculator?
Out the numbers 180, 921, 972, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.