Online GCD Calculator is useful to find the GCD of 690, 350, 496, 956 quickly. Get the easiest ways to solve the greatest common divisor of 690, 350, 496, 956 i.e 2 in different methods as follows.
Given Input numbers are 690, 350, 496, 956
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
GCD of numbers is the greatest common divisor
So, the GCD (690, 350, 496, 956) = 2.
Given numbers are 690, 350, 496, 956
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 956 are 2 x 2 x 239
The highest common occurrence is 21
Therefore, GCD of 690, 350, 496, 956 is 2.
Given numbers are 690, 350, 496, 956
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 350) = 24150
GCD(690, 350) = ( 690 x 350 ) / 24150
= 690 / 350
= 690
Step2:
LCM(10, 496) = 2480
GCD(10, 496) = ( 10 x 496 ) / 2480
= 10 / 496
= 10
Step3:
LCM(2, 956) = 956
GCD(2, 956) = ( 2 x 956 ) / 956
= 2 / 956
= 2
So, Greatest Common Divisor of 690, 350, 496, 956 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 350, 496, 956
The greatest common divisor of numbers 690, 350, 496, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 350, 496, 956 is 2.
1. What is the GCD of 690, 350, 496, 956?
GCD of given numbers 690, 350, 496, 956 is 2
2. How to calculate the greatest common divisor of 690, 350, 496, 956?
We can find the highest common divisor of 690, 350, 496, 956 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, 350, 496, 956 i.e 2.
3. How can I use the GCD of 690, 350, 496, 956Calculator?
Out the numbers 690, 350, 496, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.