Online GCD Calculator is useful to find the GCD of 299, 364, 974, 420 quickly. Get the easiest ways to solve the greatest common divisor of 299, 364, 974, 420 i.e 1 in different methods as follows.
Given Input numbers are 299, 364, 974, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
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 (299, 364, 974, 420) = 1.
Given numbers are 299, 364, 974, 420
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 974 are 2 x 487
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 299, 364, 974, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 364) = 8372
GCD(299, 364) = ( 299 x 364 ) / 8372
= 299 / 364
= 299
Step2:
LCM(13, 974) = 12662
GCD(13, 974) = ( 13 x 974 ) / 12662
= 13 / 974
= 13
Step3:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 299, 364, 974, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 364, 974, 420
The greatest common divisor of numbers 299, 364, 974, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 364, 974, 420 is 1.
1. What is the GCD of 299, 364, 974, 420?
GCD of given numbers 299, 364, 974, 420 is 1
2. How to calculate the greatest common divisor of 299, 364, 974, 420?
We can find the highest common divisor of 299, 364, 974, 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 299, 364, 974, 420 i.e 1.
3. How can I use the GCD of 299, 364, 974, 420Calculator?
Out the numbers 299, 364, 974, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.