Online GCD Calculator is useful to find the GCD of 597, 690, 957, 462 quickly. Get the easiest ways to solve the greatest common divisor of 597, 690, 957, 462 i.e 3 in different methods as follows.
Given Input numbers are 597, 690, 957, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (597, 690, 957, 462) = 3.
Given numbers are 597, 690, 957, 462
The list of prime factors of all numbers are
Prime factors of 597 are 3 x 199
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 957 are 3 x 11 x 29
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 597, 690, 957, 462 is 3.
Given numbers are 597, 690, 957, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(597, 690) = 137310
GCD(597, 690) = ( 597 x 690 ) / 137310
= 597 / 690
= 597
Step2:
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
= 3 / 957
= 3
Step3:
LCM(3, 462) = 462
GCD(3, 462) = ( 3 x 462 ) / 462
= 3 / 462
= 3
So, Greatest Common Divisor of 597, 690, 957, 462 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 597, 690, 957, 462
The greatest common divisor of numbers 597, 690, 957, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 690, 957, 462 is 3.
1. What is the GCD of 597, 690, 957, 462?
GCD of given numbers 597, 690, 957, 462 is 3
2. How to calculate the greatest common divisor of 597, 690, 957, 462?
We can find the highest common divisor of 597, 690, 957, 462 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 597, 690, 957, 462 i.e 3.
3. How can I use the GCD of 597, 690, 957, 462Calculator?
Out the numbers 597, 690, 957, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.