Online GCD Calculator is useful to find the GCD of 640, 616, 690 quickly. Get the easiest ways to solve the greatest common divisor of 640, 616, 690 i.e 2 in different methods as follows.
Given Input numbers are 640, 616, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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
GCD of numbers is the greatest common divisor
So, the GCD (640, 616, 690) = 2.
Given numbers are 640, 616, 690
The list of prime factors of all numbers are
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 640, 616, 690 is 2.
Given numbers are 640, 616, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(640, 616) = 49280
GCD(640, 616) = ( 640 x 616 ) / 49280
= 640 / 616
= 640
Step2:
LCM(8, 690) = 2760
GCD(8, 690) = ( 8 x 690 ) / 2760
= 8 / 690
= 8
So, Greatest Common Divisor of 640, 616, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 640, 616, 690
The greatest common divisor of numbers 640, 616, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 640, 616, 690 is 2.
1. What is the GCD of 640, 616, 690?
GCD of given numbers 640, 616, 690 is 2
2. How to calculate the greatest common divisor of 640, 616, 690?
We can find the highest common divisor of 640, 616, 690 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 640, 616, 690 i.e 2.
3. How can I use the GCD of 640, 616, 690Calculator?
Out the numbers 640, 616, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.