Online GCD Calculator is useful to find the GCD of 420, 164, 677, 760 quickly. Get the easiest ways to solve the greatest common divisor of 420, 164, 677, 760 i.e 1 in different methods as follows.
Given Input numbers are 420, 164, 677, 760
In the factoring method, we have to find the divisors of all numbers
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (420, 164, 677, 760) = 1.
Given numbers are 420, 164, 677, 760
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 677 are 677
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 164, 677, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 164) = 17220
GCD(420, 164) = ( 420 x 164 ) / 17220
= 420 / 164
= 420
Step2:
LCM(4, 677) = 2708
GCD(4, 677) = ( 4 x 677 ) / 2708
= 4 / 677
= 4
Step3:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 420, 164, 677, 760 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 164, 677, 760
The greatest common divisor of numbers 420, 164, 677, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 164, 677, 760 is 1.
1. What is the GCD of 420, 164, 677, 760?
GCD of given numbers 420, 164, 677, 760 is 1
2. How to calculate the greatest common divisor of 420, 164, 677, 760?
We can find the highest common divisor of 420, 164, 677, 760 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 420, 164, 677, 760 i.e 1.
3. How can I use the GCD of 420, 164, 677, 760Calculator?
Out the numbers 420, 164, 677, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.