Online GCD Calculator is useful to find the GCD of 352, 208, 778, 362 quickly. Get the easiest ways to solve the greatest common divisor of 352, 208, 778, 362 i.e 2 in different methods as follows.
Given Input numbers are 352, 208, 778, 362
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 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (352, 208, 778, 362) = 2.
Given numbers are 352, 208, 778, 362
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 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 778 are 2 x 389
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 352, 208, 778, 362 is 2.
Given numbers are 352, 208, 778, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 208) = 4576
GCD(352, 208) = ( 352 x 208 ) / 4576
= 352 / 208
= 352
Step2:
LCM(16, 778) = 6224
GCD(16, 778) = ( 16 x 778 ) / 6224
= 16 / 778
= 16
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 352, 208, 778, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 208, 778, 362
The greatest common divisor of numbers 352, 208, 778, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 208, 778, 362 is 2.
1. What is the GCD of 352, 208, 778, 362?
GCD of given numbers 352, 208, 778, 362 is 2
2. How to calculate the greatest common divisor of 352, 208, 778, 362?
We can find the highest common divisor of 352, 208, 778, 362 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, 208, 778, 362 i.e 2.
3. How can I use the GCD of 352, 208, 778, 362Calculator?
Out the numbers 352, 208, 778, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.