Online GCD Calculator is useful to find the GCD of 420, 651, 369, 998 quickly. Get the easiest ways to solve the greatest common divisor of 420, 651, 369, 998 i.e 1 in different methods as follows.
Given Input numbers are 420, 651, 369, 998
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (420, 651, 369, 998) = 1.
Given numbers are 420, 651, 369, 998
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 651 are 3 x 7 x 31
Prime factors of 369 are 3 x 3 x 41
Prime factors of 998 are 2 x 499
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 651, 369, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 651) = 13020
GCD(420, 651) = ( 420 x 651 ) / 13020
= 420 / 651
= 420
Step2:
LCM(21, 369) = 2583
GCD(21, 369) = ( 21 x 369 ) / 2583
= 21 / 369
= 21
Step3:
LCM(3, 998) = 2994
GCD(3, 998) = ( 3 x 998 ) / 2994
= 3 / 998
= 3
So, Greatest Common Divisor of 420, 651, 369, 998 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 651, 369, 998
The greatest common divisor of numbers 420, 651, 369, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 651, 369, 998 is 1.
1. What is the GCD of 420, 651, 369, 998?
GCD of given numbers 420, 651, 369, 998 is 1
2. How to calculate the greatest common divisor of 420, 651, 369, 998?
We can find the highest common divisor of 420, 651, 369, 998 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 420, 651, 369, 998 i.e 1.
3. How can I use the GCD of 420, 651, 369, 998Calculator?
Out the numbers 420, 651, 369, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.