Online GCD Calculator is useful to find the GCD of 564, 676, 762, 166 quickly. Get the easiest ways to solve the greatest common divisor of 564, 676, 762, 166 i.e 2 in different methods as follows.
Given Input numbers are 564, 676, 762, 166
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (564, 676, 762, 166) = 2.
Given numbers are 564, 676, 762, 166
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 762 are 2 x 3 x 127
Prime factors of 166 are 2 x 83
The highest common occurrence is 21
Therefore, GCD of 564, 676, 762, 166 is 2.
Given numbers are 564, 676, 762, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 676) = 95316
GCD(564, 676) = ( 564 x 676 ) / 95316
= 564 / 676
= 564
Step2:
LCM(4, 762) = 1524
GCD(4, 762) = ( 4 x 762 ) / 1524
= 4 / 762
= 4
Step3:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
So, Greatest Common Divisor of 564, 676, 762, 166 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 676, 762, 166
The greatest common divisor of numbers 564, 676, 762, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 676, 762, 166 is 2.
1. What is the GCD of 564, 676, 762, 166?
GCD of given numbers 564, 676, 762, 166 is 2
2. How to calculate the greatest common divisor of 564, 676, 762, 166?
We can find the highest common divisor of 564, 676, 762, 166 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 564, 676, 762, 166 i.e 2.
3. How can I use the GCD of 564, 676, 762, 166Calculator?
Out the numbers 564, 676, 762, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.