Online GCD Calculator is useful to find the GCD of 357, 578, 413, 553 quickly. Get the easiest ways to solve the greatest common divisor of 357, 578, 413, 553 i.e 1 in different methods as follows.
Given Input numbers are 357, 578, 413, 553
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
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 (357, 578, 413, 553) = 1.
Given numbers are 357, 578, 413, 553
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 578 are 2 x 17 x 17
Prime factors of 413 are 7 x 59
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 357, 578, 413, 553
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 578) = 12138
GCD(357, 578) = ( 357 x 578 ) / 12138
= 357 / 578
= 357
Step2:
LCM(17, 413) = 7021
GCD(17, 413) = ( 17 x 413 ) / 7021
= 17 / 413
= 17
Step3:
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
= 1 / 553
= 1
So, Greatest Common Divisor of 357, 578, 413, 553 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 578, 413, 553
The greatest common divisor of numbers 357, 578, 413, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 578, 413, 553 is 1.
1. What is the GCD of 357, 578, 413, 553?
GCD of given numbers 357, 578, 413, 553 is 1
2. How to calculate the greatest common divisor of 357, 578, 413, 553?
We can find the highest common divisor of 357, 578, 413, 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 357, 578, 413, 553 i.e 1.
3. How can I use the GCD of 357, 578, 413, 553Calculator?
Out the numbers 357, 578, 413, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.