Online GCD Calculator is useful to find the GCD of 436, 138, 562, 882 quickly. Get the easiest ways to solve the greatest common divisor of 436, 138, 562, 882 i.e 2 in different methods as follows.
Given Input numbers are 436, 138, 562, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (436, 138, 562, 882) = 2.
Given numbers are 436, 138, 562, 882
The list of prime factors of all numbers are
Prime factors of 436 are 2 x 2 x 109
Prime factors of 138 are 2 x 3 x 23
Prime factors of 562 are 2 x 281
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 436, 138, 562, 882 is 2.
Given numbers are 436, 138, 562, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(436, 138) = 30084
GCD(436, 138) = ( 436 x 138 ) / 30084
= 436 / 138
= 436
Step2:
LCM(2, 562) = 562
GCD(2, 562) = ( 2 x 562 ) / 562
= 2 / 562
= 2
Step3:
LCM(2, 882) = 882
GCD(2, 882) = ( 2 x 882 ) / 882
= 2 / 882
= 2
So, Greatest Common Divisor of 436, 138, 562, 882 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 436, 138, 562, 882
The greatest common divisor of numbers 436, 138, 562, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 138, 562, 882 is 2.
1. What is the GCD of 436, 138, 562, 882?
GCD of given numbers 436, 138, 562, 882 is 2
2. How to calculate the greatest common divisor of 436, 138, 562, 882?
We can find the highest common divisor of 436, 138, 562, 882 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 436, 138, 562, 882 i.e 2.
3. How can I use the GCD of 436, 138, 562, 882Calculator?
Out the numbers 436, 138, 562, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.