Online GCD Calculator is useful to find the GCD of 858, 972, 798, 942 quickly. Get the easiest ways to solve the greatest common divisor of 858, 972, 798, 942 i.e 6 in different methods as follows.
Given Input numbers are 858, 972, 798, 942
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (858, 972, 798, 942) = 6.
Given numbers are 858, 972, 798, 942
The list of prime factors of all numbers are
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21 x 31
Therefore, GCD of 858, 972, 798, 942 is 6.
Given numbers are 858, 972, 798, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(858, 972) = 138996
GCD(858, 972) = ( 858 x 972 ) / 138996
= 858 / 972
= 858
Step2:
LCM(6, 798) = 798
GCD(6, 798) = ( 6 x 798 ) / 798
= 6 / 798
= 6
Step3:
LCM(6, 942) = 942
GCD(6, 942) = ( 6 x 942 ) / 942
= 6 / 942
= 6
So, Greatest Common Divisor of 858, 972, 798, 942 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 858, 972, 798, 942
The greatest common divisor of numbers 858, 972, 798, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 972, 798, 942 is 6.
1. What is the GCD of 858, 972, 798, 942?
GCD of given numbers 858, 972, 798, 942 is 6
2. How to calculate the greatest common divisor of 858, 972, 798, 942?
We can find the highest common divisor of 858, 972, 798, 942 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, 972, 798, 942 i.e 6.
3. How can I use the GCD of 858, 972, 798, 942Calculator?
Out the numbers 858, 972, 798, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.