Online GCD Calculator is useful to find the GCD of 155, 420, 861, 616 quickly. Get the easiest ways to solve the greatest common divisor of 155, 420, 861, 616 i.e 1 in different methods as follows.
Given Input numbers are 155, 420, 861, 616
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (155, 420, 861, 616) = 1.
Given numbers are 155, 420, 861, 616
The list of prime factors of all numbers are
Prime factors of 155 are 5 x 31
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 861 are 3 x 7 x 41
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 155, 420, 861, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(155, 420) = 13020
GCD(155, 420) = ( 155 x 420 ) / 13020
= 155 / 420
= 155
Step2:
LCM(5, 861) = 4305
GCD(5, 861) = ( 5 x 861 ) / 4305
= 5 / 861
= 5
Step3:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
So, Greatest Common Divisor of 155, 420, 861, 616 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 155, 420, 861, 616
The greatest common divisor of numbers 155, 420, 861, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 420, 861, 616 is 1.
1. What is the GCD of 155, 420, 861, 616?
GCD of given numbers 155, 420, 861, 616 is 1
2. How to calculate the greatest common divisor of 155, 420, 861, 616?
We can find the highest common divisor of 155, 420, 861, 616 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, 420, 861, 616 i.e 1.
3. How can I use the GCD of 155, 420, 861, 616Calculator?
Out the numbers 155, 420, 861, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.