Online GCD Calculator is useful to find the GCD of 966, 901, 848, 100 quickly. Get the easiest ways to solve the greatest common divisor of 966, 901, 848, 100 i.e 1 in different methods as follows.
Given Input numbers are 966, 901, 848, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (966, 901, 848, 100) = 1.
Given numbers are 966, 901, 848, 100
The list of prime factors of all numbers are
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 901 are 17 x 53
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 966, 901, 848, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(966, 901) = 870366
GCD(966, 901) = ( 966 x 901 ) / 870366
= 966 / 901
= 966
Step2:
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
= 1 / 848
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 966, 901, 848, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 966, 901, 848, 100
The greatest common divisor of numbers 966, 901, 848, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 901, 848, 100 is 1.
1. What is the GCD of 966, 901, 848, 100?
GCD of given numbers 966, 901, 848, 100 is 1
2. How to calculate the greatest common divisor of 966, 901, 848, 100?
We can find the highest common divisor of 966, 901, 848, 100 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 966, 901, 848, 100 i.e 1.
3. How can I use the GCD of 966, 901, 848, 100Calculator?
Out the numbers 966, 901, 848, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.