Online GCD Calculator is useful to find the GCD of 792, 603, 987, 420 quickly. Get the easiest ways to solve the greatest common divisor of 792, 603, 987, 420 i.e 3 in different methods as follows.
Given Input numbers are 792, 603, 987, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (792, 603, 987, 420) = 3.
Given numbers are 792, 603, 987, 420
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 603 are 3 x 3 x 67
Prime factors of 987 are 3 x 7 x 47
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 792, 603, 987, 420 is 3.
Given numbers are 792, 603, 987, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 603) = 53064
GCD(792, 603) = ( 792 x 603 ) / 53064
= 792 / 603
= 792
Step2:
LCM(9, 987) = 2961
GCD(9, 987) = ( 9 x 987 ) / 2961
= 9 / 987
= 9
Step3:
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
= 3 / 420
= 3
So, Greatest Common Divisor of 792, 603, 987, 420 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 792, 603, 987, 420
The greatest common divisor of numbers 792, 603, 987, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 603, 987, 420 is 3.
1. What is the GCD of 792, 603, 987, 420?
GCD of given numbers 792, 603, 987, 420 is 3
2. How to calculate the greatest common divisor of 792, 603, 987, 420?
We can find the highest common divisor of 792, 603, 987, 420 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 792, 603, 987, 420 i.e 3.
3. How can I use the GCD of 792, 603, 987, 420Calculator?
Out the numbers 792, 603, 987, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.