Online GCD Calculator is useful to find the GCD of 361, 208, 977, 724 quickly. Get the easiest ways to solve the greatest common divisor of 361, 208, 977, 724 i.e 1 in different methods as follows.
Given Input numbers are 361, 208, 977, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (361, 208, 977, 724) = 1.
Given numbers are 361, 208, 977, 724
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 977 are 977
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 361, 208, 977, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 208) = 75088
GCD(361, 208) = ( 361 x 208 ) / 75088
= 361 / 208
= 361
Step2:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
Step3:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 361, 208, 977, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 208, 977, 724
The greatest common divisor of numbers 361, 208, 977, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 208, 977, 724 is 1.
1. What is the GCD of 361, 208, 977, 724?
GCD of given numbers 361, 208, 977, 724 is 1
2. How to calculate the greatest common divisor of 361, 208, 977, 724?
We can find the highest common divisor of 361, 208, 977, 724 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 361, 208, 977, 724 i.e 1.
3. How can I use the GCD of 361, 208, 977, 724Calculator?
Out the numbers 361, 208, 977, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.