Online GCD Calculator is useful to find the GCD of 356, 692, 636, 524 quickly. Get the easiest ways to solve the greatest common divisor of 356, 692, 636, 524 i.e 4 in different methods as follows.
Given Input numbers are 356, 692, 636, 524
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (356, 692, 636, 524) = 4.
Given numbers are 356, 692, 636, 524
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 692 are 2 x 2 x 173
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 524 are 2 x 2 x 131
The highest common occurrence is 22
Therefore, GCD of 356, 692, 636, 524 is 4.
Given numbers are 356, 692, 636, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 692) = 61588
GCD(356, 692) = ( 356 x 692 ) / 61588
= 356 / 692
= 356
Step2:
LCM(4, 636) = 636
GCD(4, 636) = ( 4 x 636 ) / 636
= 4 / 636
= 4
Step3:
LCM(4, 524) = 524
GCD(4, 524) = ( 4 x 524 ) / 524
= 4 / 524
= 4
So, Greatest Common Divisor of 356, 692, 636, 524 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 692, 636, 524
The greatest common divisor of numbers 356, 692, 636, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 692, 636, 524 is 4.
1. What is the GCD of 356, 692, 636, 524?
GCD of given numbers 356, 692, 636, 524 is 4
2. How to calculate the greatest common divisor of 356, 692, 636, 524?
We can find the highest common divisor of 356, 692, 636, 524 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 356, 692, 636, 524 i.e 4.
3. How can I use the GCD of 356, 692, 636, 524Calculator?
Out the numbers 356, 692, 636, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.