Online GCD Calculator is useful to find the GCD of 357, 693, 336, 564 quickly. Get the easiest ways to solve the greatest common divisor of 357, 693, 336, 564 i.e 3 in different methods as follows.
Given Input numbers are 357, 693, 336, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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
GCD of numbers is the greatest common divisor
So, the GCD (357, 693, 336, 564) = 3.
Given numbers are 357, 693, 336, 564
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 357, 693, 336, 564 is 3.
Given numbers are 357, 693, 336, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 693) = 11781
GCD(357, 693) = ( 357 x 693 ) / 11781
= 357 / 693
= 357
Step2:
LCM(21, 336) = 336
GCD(21, 336) = ( 21 x 336 ) / 336
= 21 / 336
= 21
Step3:
LCM(21, 564) = 3948
GCD(21, 564) = ( 21 x 564 ) / 3948
= 21 / 564
= 21
So, Greatest Common Divisor of 357, 693, 336, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 693, 336, 564
The greatest common divisor of numbers 357, 693, 336, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 693, 336, 564 is 3.
1. What is the GCD of 357, 693, 336, 564?
GCD of given numbers 357, 693, 336, 564 is 3
2. How to calculate the greatest common divisor of 357, 693, 336, 564?
We can find the highest common divisor of 357, 693, 336, 564 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 357, 693, 336, 564 i.e 3.
3. How can I use the GCD of 357, 693, 336, 564Calculator?
Out the numbers 357, 693, 336, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.