Online GCD Calculator is useful to find the GCD of 378, 436, 858, 972 quickly. Get the easiest ways to solve the greatest common divisor of 378, 436, 858, 972 i.e 2 in different methods as follows.
Given Input numbers are 378, 436, 858, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
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
GCD of numbers is the greatest common divisor
So, the GCD (378, 436, 858, 972) = 2.
Given numbers are 378, 436, 858, 972
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 436 are 2 x 2 x 109
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
The highest common occurrence is 21
Therefore, GCD of 378, 436, 858, 972 is 2.
Given numbers are 378, 436, 858, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 436) = 82404
GCD(378, 436) = ( 378 x 436 ) / 82404
= 378 / 436
= 378
Step2:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 378, 436, 858, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 436, 858, 972
The greatest common divisor of numbers 378, 436, 858, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 436, 858, 972 is 2.
1. What is the GCD of 378, 436, 858, 972?
GCD of given numbers 378, 436, 858, 972 is 2
2. How to calculate the greatest common divisor of 378, 436, 858, 972?
We can find the highest common divisor of 378, 436, 858, 972 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 378, 436, 858, 972 i.e 2.
3. How can I use the GCD of 378, 436, 858, 972Calculator?
Out the numbers 378, 436, 858, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.