Online GCD Calculator is useful to find the GCD of 735, 216, 858, 742 quickly. Get the easiest ways to solve the greatest common divisor of 735, 216, 858, 742 i.e 1 in different methods as follows.
Given Input numbers are 735, 216, 858, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (735, 216, 858, 742) = 1.
Given numbers are 735, 216, 858, 742
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 216, 858, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 216) = 52920
GCD(735, 216) = ( 735 x 216 ) / 52920
= 735 / 216
= 735
Step2:
LCM(3, 858) = 858
GCD(3, 858) = ( 3 x 858 ) / 858
= 3 / 858
= 3
Step3:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
So, Greatest Common Divisor of 735, 216, 858, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 216, 858, 742
The greatest common divisor of numbers 735, 216, 858, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 216, 858, 742 is 1.
1. What is the GCD of 735, 216, 858, 742?
GCD of given numbers 735, 216, 858, 742 is 1
2. How to calculate the greatest common divisor of 735, 216, 858, 742?
We can find the highest common divisor of 735, 216, 858, 742 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 735, 216, 858, 742 i.e 1.
3. How can I use the GCD of 735, 216, 858, 742Calculator?
Out the numbers 735, 216, 858, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.