Online GCD Calculator is useful to find the GCD of 420, 472, 612, 957 quickly. Get the easiest ways to solve the greatest common divisor of 420, 472, 612, 957 i.e 1 in different methods as follows.
Given Input numbers are 420, 472, 612, 957
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (420, 472, 612, 957) = 1.
Given numbers are 420, 472, 612, 957
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 472 are 2 x 2 x 2 x 59
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 957 are 3 x 11 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 472, 612, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 472) = 49560
GCD(420, 472) = ( 420 x 472 ) / 49560
= 420 / 472
= 420
Step2:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
Step3:
LCM(4, 957) = 3828
GCD(4, 957) = ( 4 x 957 ) / 3828
= 4 / 957
= 4
So, Greatest Common Divisor of 420, 472, 612, 957 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 472, 612, 957
The greatest common divisor of numbers 420, 472, 612, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 472, 612, 957 is 1.
1. What is the GCD of 420, 472, 612, 957?
GCD of given numbers 420, 472, 612, 957 is 1
2. How to calculate the greatest common divisor of 420, 472, 612, 957?
We can find the highest common divisor of 420, 472, 612, 957 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, 472, 612, 957 i.e 1.
3. How can I use the GCD of 420, 472, 612, 957Calculator?
Out the numbers 420, 472, 612, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.