Online GCD Calculator is useful to find the GCD of 352, 942, 218, 690 quickly. Get the easiest ways to solve the greatest common divisor of 352, 942, 218, 690 i.e 2 in different methods as follows.
Given Input numbers are 352, 942, 218, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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 (352, 942, 218, 690) = 2.
Given numbers are 352, 942, 218, 690
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 942 are 2 x 3 x 157
Prime factors of 218 are 2 x 109
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 352, 942, 218, 690 is 2.
Given numbers are 352, 942, 218, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 942) = 165792
GCD(352, 942) = ( 352 x 942 ) / 165792
= 352 / 942
= 352
Step2:
LCM(2, 218) = 218
GCD(2, 218) = ( 2 x 218 ) / 218
= 2 / 218
= 2
Step3:
LCM(2, 690) = 690
GCD(2, 690) = ( 2 x 690 ) / 690
= 2 / 690
= 2
So, Greatest Common Divisor of 352, 942, 218, 690 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 942, 218, 690
The greatest common divisor of numbers 352, 942, 218, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 942, 218, 690 is 2.
1. What is the GCD of 352, 942, 218, 690?
GCD of given numbers 352, 942, 218, 690 is 2
2. How to calculate the greatest common divisor of 352, 942, 218, 690?
We can find the highest common divisor of 352, 942, 218, 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 352, 942, 218, 690 i.e 2.
3. How can I use the GCD of 352, 942, 218, 690Calculator?
Out the numbers 352, 942, 218, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.