Online GCD Calculator is useful to find the GCD of 714, 429, 777, 858 quickly. Get the easiest ways to solve the greatest common divisor of 714, 429, 777, 858 i.e 3 in different methods as follows.
Given Input numbers are 714, 429, 777, 858
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
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
GCD of numbers is the greatest common divisor
So, the GCD (714, 429, 777, 858) = 3.
Given numbers are 714, 429, 777, 858
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 429 are 3 x 11 x 13
Prime factors of 777 are 3 x 7 x 37
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 714, 429, 777, 858 is 3.
Given numbers are 714, 429, 777, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 429) = 102102
GCD(714, 429) = ( 714 x 429 ) / 102102
= 714 / 429
= 714
Step2:
LCM(3, 777) = 777
GCD(3, 777) = ( 3 x 777 ) / 777
= 3 / 777
= 3
Step3:
LCM(3, 858) = 858
GCD(3, 858) = ( 3 x 858 ) / 858
= 3 / 858
= 3
So, Greatest Common Divisor of 714, 429, 777, 858 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 429, 777, 858
The greatest common divisor of numbers 714, 429, 777, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 429, 777, 858 is 3.
1. What is the GCD of 714, 429, 777, 858?
GCD of given numbers 714, 429, 777, 858 is 3
2. How to calculate the greatest common divisor of 714, 429, 777, 858?
We can find the highest common divisor of 714, 429, 777, 858 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 714, 429, 777, 858 i.e 3.
3. How can I use the GCD of 714, 429, 777, 858Calculator?
Out the numbers 714, 429, 777, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.