Online GCD Calculator is useful to find the GCD of 342, 724, 732, 553 quickly. Get the easiest ways to solve the greatest common divisor of 342, 724, 732, 553 i.e 1 in different methods as follows.
Given Input numbers are 342, 724, 732, 553
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
GCD of numbers is the greatest common divisor
So, the GCD (342, 724, 732, 553) = 1.
Given numbers are 342, 724, 732, 553
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 724 are 2 x 2 x 181
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 553 are 7 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 724, 732, 553
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 724) = 123804
GCD(342, 724) = ( 342 x 724 ) / 123804
= 342 / 724
= 342
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 553) = 1106
GCD(2, 553) = ( 2 x 553 ) / 1106
= 2 / 553
= 2
So, Greatest Common Divisor of 342, 724, 732, 553 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 724, 732, 553
The greatest common divisor of numbers 342, 724, 732, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 724, 732, 553 is 1.
1. What is the GCD of 342, 724, 732, 553?
GCD of given numbers 342, 724, 732, 553 is 1
2. How to calculate the greatest common divisor of 342, 724, 732, 553?
We can find the highest common divisor of 342, 724, 732, 553 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 342, 724, 732, 553 i.e 1.
3. How can I use the GCD of 342, 724, 732, 553Calculator?
Out the numbers 342, 724, 732, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.