Online GCD Calculator is useful to find the GCD of 690, 402, 492, 496 quickly. Get the easiest ways to solve the greatest common divisor of 690, 402, 492, 496 i.e 2 in different methods as follows.
Given Input numbers are 690, 402, 492, 496
In the factoring method, we have to find the divisors of all numbers
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 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
GCD of numbers is the greatest common divisor
So, the GCD (690, 402, 492, 496) = 2.
Given numbers are 690, 402, 492, 496
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 402 are 2 x 3 x 67
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 690, 402, 492, 496 is 2.
Given numbers are 690, 402, 492, 496
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 402) = 46230
GCD(690, 402) = ( 690 x 402 ) / 46230
= 690 / 402
= 690
Step2:
LCM(6, 492) = 492
GCD(6, 492) = ( 6 x 492 ) / 492
= 6 / 492
= 6
Step3:
LCM(6, 496) = 1488
GCD(6, 496) = ( 6 x 496 ) / 1488
= 6 / 496
= 6
So, Greatest Common Divisor of 690, 402, 492, 496 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 402, 492, 496
The greatest common divisor of numbers 690, 402, 492, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 402, 492, 496 is 2.
1. What is the GCD of 690, 402, 492, 496?
GCD of given numbers 690, 402, 492, 496 is 2
2. How to calculate the greatest common divisor of 690, 402, 492, 496?
We can find the highest common divisor of 690, 402, 492, 496 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 690, 402, 492, 496 i.e 2.
3. How can I use the GCD of 690, 402, 492, 496Calculator?
Out the numbers 690, 402, 492, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.