Online GCD Calculator is useful to find the GCD of 420, 522, 741, 880 quickly. Get the easiest ways to solve the greatest common divisor of 420, 522, 741, 880 i.e 1 in different methods as follows.
Given Input numbers are 420, 522, 741, 880
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 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (420, 522, 741, 880) = 1.
Given numbers are 420, 522, 741, 880
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 522 are 2 x 3 x 3 x 29
Prime factors of 741 are 3 x 13 x 19
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 522, 741, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 522) = 36540
GCD(420, 522) = ( 420 x 522 ) / 36540
= 420 / 522
= 420
Step2:
LCM(6, 741) = 1482
GCD(6, 741) = ( 6 x 741 ) / 1482
= 6 / 741
= 6
Step3:
LCM(3, 880) = 2640
GCD(3, 880) = ( 3 x 880 ) / 2640
= 3 / 880
= 3
So, Greatest Common Divisor of 420, 522, 741, 880 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 522, 741, 880
The greatest common divisor of numbers 420, 522, 741, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 522, 741, 880 is 1.
1. What is the GCD of 420, 522, 741, 880?
GCD of given numbers 420, 522, 741, 880 is 1
2. How to calculate the greatest common divisor of 420, 522, 741, 880?
We can find the highest common divisor of 420, 522, 741, 880 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, 522, 741, 880 i.e 1.
3. How can I use the GCD of 420, 522, 741, 880Calculator?
Out the numbers 420, 522, 741, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.