Online GCD Calculator is useful to find the GCD of 155, 378, 692, 538 quickly. Get the easiest ways to solve the greatest common divisor of 155, 378, 692, 538 i.e 1 in different methods as follows.
Given Input numbers are 155, 378, 692, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (155, 378, 692, 538) = 1.
Given numbers are 155, 378, 692, 538
The list of prime factors of all numbers are
Prime factors of 155 are 5 x 31
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 692 are 2 x 2 x 173
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 155, 378, 692, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(155, 378) = 58590
GCD(155, 378) = ( 155 x 378 ) / 58590
= 155 / 378
= 155
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 155, 378, 692, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 155, 378, 692, 538
The greatest common divisor of numbers 155, 378, 692, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 378, 692, 538 is 1.
1. What is the GCD of 155, 378, 692, 538?
GCD of given numbers 155, 378, 692, 538 is 1
2. How to calculate the greatest common divisor of 155, 378, 692, 538?
We can find the highest common divisor of 155, 378, 692, 538 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 155, 378, 692, 538 i.e 1.
3. How can I use the GCD of 155, 378, 692, 538Calculator?
Out the numbers 155, 378, 692, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.