Online GCD Calculator is useful to find the GCD of 420, 724, 902, 604 quickly. Get the easiest ways to solve the greatest common divisor of 420, 724, 902, 604 i.e 2 in different methods as follows.
Given Input numbers are 420, 724, 902, 604
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
GCD of numbers is the greatest common divisor
So, the GCD (420, 724, 902, 604) = 2.
Given numbers are 420, 724, 902, 604
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 724 are 2 x 2 x 181
Prime factors of 902 are 2 x 11 x 41
Prime factors of 604 are 2 x 2 x 151
The highest common occurrence is 21
Therefore, GCD of 420, 724, 902, 604 is 2.
Given numbers are 420, 724, 902, 604
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 724) = 76020
GCD(420, 724) = ( 420 x 724 ) / 76020
= 420 / 724
= 420
Step2:
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
= 4 / 902
= 4
Step3:
LCM(2, 604) = 604
GCD(2, 604) = ( 2 x 604 ) / 604
= 2 / 604
= 2
So, Greatest Common Divisor of 420, 724, 902, 604 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 724, 902, 604
The greatest common divisor of numbers 420, 724, 902, 604 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 724, 902, 604 is 2.
1. What is the GCD of 420, 724, 902, 604?
GCD of given numbers 420, 724, 902, 604 is 2
2. How to calculate the greatest common divisor of 420, 724, 902, 604?
We can find the highest common divisor of 420, 724, 902, 604 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, 724, 902, 604 i.e 2.
3. How can I use the GCD of 420, 724, 902, 604Calculator?
Out the numbers 420, 724, 902, 604 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.