Online GCD Calculator is useful to find the GCD of 974, 420, 724, 985 quickly. Get the easiest ways to solve the greatest common divisor of 974, 420, 724, 985 i.e 1 in different methods as follows.
Given Input numbers are 974, 420, 724, 985
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
GCD of numbers is the greatest common divisor
So, the GCD (974, 420, 724, 985) = 1.
Given numbers are 974, 420, 724, 985
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 724 are 2 x 2 x 181
Prime factors of 985 are 5 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 974, 420, 724, 985
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 420) = 204540
GCD(974, 420) = ( 974 x 420 ) / 204540
= 974 / 420
= 974
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
= 2 / 985
= 2
So, Greatest Common Divisor of 974, 420, 724, 985 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 420, 724, 985
The greatest common divisor of numbers 974, 420, 724, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 420, 724, 985 is 1.
1. What is the GCD of 974, 420, 724, 985?
GCD of given numbers 974, 420, 724, 985 is 1
2. How to calculate the greatest common divisor of 974, 420, 724, 985?
We can find the highest common divisor of 974, 420, 724, 985 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 974, 420, 724, 985 i.e 1.
3. How can I use the GCD of 974, 420, 724, 985Calculator?
Out the numbers 974, 420, 724, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.