Online GCD Calculator is useful to find the GCD of 848, 705, 972, 189 quickly. Get the easiest ways to solve the greatest common divisor of 848, 705, 972, 189 i.e 1 in different methods as follows.
Given Input numbers are 848, 705, 972, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (848, 705, 972, 189) = 1.
Given numbers are 848, 705, 972, 189
The list of prime factors of all numbers are
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 705 are 3 x 5 x 47
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 848, 705, 972, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(848, 705) = 597840
GCD(848, 705) = ( 848 x 705 ) / 597840
= 848 / 705
= 848
Step2:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
Step3:
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
= 1 / 189
= 1
So, Greatest Common Divisor of 848, 705, 972, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 848, 705, 972, 189
The greatest common divisor of numbers 848, 705, 972, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 705, 972, 189 is 1.
1. What is the GCD of 848, 705, 972, 189?
GCD of given numbers 848, 705, 972, 189 is 1
2. How to calculate the greatest common divisor of 848, 705, 972, 189?
We can find the highest common divisor of 848, 705, 972, 189 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 848, 705, 972, 189 i.e 1.
3. How can I use the GCD of 848, 705, 972, 189Calculator?
Out the numbers 848, 705, 972, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.