Online GCD Calculator is useful to find the GCD of 708, 211, 828, 972 quickly. Get the easiest ways to solve the greatest common divisor of 708, 211, 828, 972 i.e 1 in different methods as follows.
Given Input numbers are 708, 211, 828, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 211 :
The positive integer divisors of 211 that completely divides 211 are.
1, 211
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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 (708, 211, 828, 972) = 1.
Given numbers are 708, 211, 828, 972
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 211 are 211
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 708, 211, 828, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 211) = 149388
GCD(708, 211) = ( 708 x 211 ) / 149388
= 708 / 211
= 708
Step2:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 708, 211, 828, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 211, 828, 972
The greatest common divisor of numbers 708, 211, 828, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 211, 828, 972 is 1.
1. What is the GCD of 708, 211, 828, 972?
GCD of given numbers 708, 211, 828, 972 is 1
2. How to calculate the greatest common divisor of 708, 211, 828, 972?
We can find the highest common divisor of 708, 211, 828, 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 708, 211, 828, 972 i.e 1.
3. How can I use the GCD of 708, 211, 828, 972Calculator?
Out the numbers 708, 211, 828, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.