Online GCD Calculator is useful to find the GCD of 858, 129, 153, 693 quickly. Get the easiest ways to solve the greatest common divisor of 858, 129, 153, 693 i.e 3 in different methods as follows.
Given Input numbers are 858, 129, 153, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
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
GCD of numbers is the greatest common divisor
So, the GCD (858, 129, 153, 693) = 3.
Given numbers are 858, 129, 153, 693
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 129 are 3 x 43
Prime factors of 153 are 3 x 3 x 17
Prime factors of 693 are 3 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 858, 129, 153, 693 is 3.
Given numbers are 858, 129, 153, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 129) = 36894
GCD(858, 129) = ( 858 x 129 ) / 36894
= 858 / 129
= 858
Step2:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
Step3:
LCM(3, 693) = 693
GCD(3, 693) = ( 3 x 693 ) / 693
= 3 / 693
= 3
So, Greatest Common Divisor of 858, 129, 153, 693 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 129, 153, 693
The greatest common divisor of numbers 858, 129, 153, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 129, 153, 693 is 3.
1. What is the GCD of 858, 129, 153, 693?
GCD of given numbers 858, 129, 153, 693 is 3
2. How to calculate the greatest common divisor of 858, 129, 153, 693?
We can find the highest common divisor of 858, 129, 153, 693 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 858, 129, 153, 693 i.e 3.
3. How can I use the GCD of 858, 129, 153, 693Calculator?
Out the numbers 858, 129, 153, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.