Online GCD Calculator is useful to find the GCD of 946, 772, 690, 232 quickly. Get the easiest ways to solve the greatest common divisor of 946, 772, 690, 232 i.e 2 in different methods as follows.
Given Input numbers are 946, 772, 690, 232
In the factoring method, we have to find the divisors of all numbers
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
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 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (946, 772, 690, 232) = 2.
Given numbers are 946, 772, 690, 232
The list of prime factors of all numbers are
Prime factors of 946 are 2 x 11 x 43
Prime factors of 772 are 2 x 2 x 193
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 946, 772, 690, 232 is 2.
Given numbers are 946, 772, 690, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(946, 772) = 365156
GCD(946, 772) = ( 946 x 772 ) / 365156
= 946 / 772
= 946
Step2:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
Step3:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
So, Greatest Common Divisor of 946, 772, 690, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 946, 772, 690, 232
The greatest common divisor of numbers 946, 772, 690, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 772, 690, 232 is 2.
1. What is the GCD of 946, 772, 690, 232?
GCD of given numbers 946, 772, 690, 232 is 2
2. How to calculate the greatest common divisor of 946, 772, 690, 232?
We can find the highest common divisor of 946, 772, 690, 232 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 946, 772, 690, 232 i.e 2.
3. How can I use the GCD of 946, 772, 690, 232Calculator?
Out the numbers 946, 772, 690, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.