Online GCD Calculator is useful to find the GCD of 972, 336, 800 quickly. Get the easiest ways to solve the greatest common divisor of 972, 336, 800 i.e 4 in different methods as follows.
Given Input numbers are 972, 336, 800
In the factoring method, we have to find the divisors of all numbers
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 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
GCD of numbers is the greatest common divisor
So, the GCD (972, 336, 800) = 4.
Given numbers are 972, 336, 800
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 972, 336, 800 is 4.
Given numbers are 972, 336, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 336) = 27216
GCD(972, 336) = ( 972 x 336 ) / 27216
= 972 / 336
= 972
Step2:
LCM(12, 800) = 2400
GCD(12, 800) = ( 12 x 800 ) / 2400
= 12 / 800
= 12
So, Greatest Common Divisor of 972, 336, 800 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 336, 800
The greatest common divisor of numbers 972, 336, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 336, 800 is 4.
1. What is the GCD of 972, 336, 800?
GCD of given numbers 972, 336, 800 is 4
2. How to calculate the greatest common divisor of 972, 336, 800?
We can find the highest common divisor of 972, 336, 800 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 972, 336, 800 i.e 4.
3. How can I use the GCD of 972, 336, 800Calculator?
Out the numbers 972, 336, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.