Online GCD Calculator is useful to find the GCD of 178, 735, 220 quickly. Get the easiest ways to solve the greatest common divisor of 178, 735, 220 i.e 1 in different methods as follows.
Given Input numbers are 178, 735, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (178, 735, 220) = 1.
Given numbers are 178, 735, 220
The list of prime factors of all numbers are
Prime factors of 178 are 2 x 89
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 178, 735, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(178, 735) = 130830
GCD(178, 735) = ( 178 x 735 ) / 130830
= 178 / 735
= 178
Step2:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 178, 735, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 178, 735, 220
The greatest common divisor of numbers 178, 735, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 735, 220 is 1.
1. What is the GCD of 178, 735, 220?
GCD of given numbers 178, 735, 220 is 1
2. How to calculate the greatest common divisor of 178, 735, 220?
We can find the highest common divisor of 178, 735, 220 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 178, 735, 220 i.e 1.
3. How can I use the GCD of 178, 735, 220Calculator?
Out the numbers 178, 735, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.