Online GCD Calculator is useful to find the GCD of 724, 973, 454, 138 quickly. Get the easiest ways to solve the greatest common divisor of 724, 973, 454, 138 i.e 1 in different methods as follows.
Given Input numbers are 724, 973, 454, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
Divisors of 454 :
The positive integer divisors of 454 that completely divides 454 are.
1, 2, 227, 454
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (724, 973, 454, 138) = 1.
Given numbers are 724, 973, 454, 138
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 973 are 7 x 139
Prime factors of 454 are 2 x 227
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 973, 454, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 973) = 704452
GCD(724, 973) = ( 724 x 973 ) / 704452
= 724 / 973
= 724
Step2:
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
= 1 / 454
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 724, 973, 454, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 973, 454, 138
The greatest common divisor of numbers 724, 973, 454, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 973, 454, 138 is 1.
1. What is the GCD of 724, 973, 454, 138?
GCD of given numbers 724, 973, 454, 138 is 1
2. How to calculate the greatest common divisor of 724, 973, 454, 138?
We can find the highest common divisor of 724, 973, 454, 138 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 724, 973, 454, 138 i.e 1.
3. How can I use the GCD of 724, 973, 454, 138Calculator?
Out the numbers 724, 973, 454, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.