Online GCD Calculator is useful to find the GCD of 562, 364, 334, 282 quickly. Get the easiest ways to solve the greatest common divisor of 562, 364, 334, 282 i.e 2 in different methods as follows.
Given Input numbers are 562, 364, 334, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (562, 364, 334, 282) = 2.
Given numbers are 562, 364, 334, 282
The list of prime factors of all numbers are
Prime factors of 562 are 2 x 281
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 334 are 2 x 167
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 562, 364, 334, 282 is 2.
Given numbers are 562, 364, 334, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(562, 364) = 102284
GCD(562, 364) = ( 562 x 364 ) / 102284
= 562 / 364
= 562
Step2:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
Step3:
LCM(2, 282) = 282
GCD(2, 282) = ( 2 x 282 ) / 282
= 2 / 282
= 2
So, Greatest Common Divisor of 562, 364, 334, 282 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 562, 364, 334, 282
The greatest common divisor of numbers 562, 364, 334, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 364, 334, 282 is 2.
1. What is the GCD of 562, 364, 334, 282?
GCD of given numbers 562, 364, 334, 282 is 2
2. How to calculate the greatest common divisor of 562, 364, 334, 282?
We can find the highest common divisor of 562, 364, 334, 282 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 562, 364, 334, 282 i.e 2.
3. How can I use the GCD of 562, 364, 334, 282Calculator?
Out the numbers 562, 364, 334, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.