Online GCD Calculator is useful to find the GCD of 120, 210, 952, 441 quickly. Get the easiest ways to solve the greatest common divisor of 120, 210, 952, 441 i.e 1 in different methods as follows.
Given Input numbers are 120, 210, 952, 441
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (120, 210, 952, 441) = 1.
Given numbers are 120, 210, 952, 441
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 441 are 3 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 210, 952, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 210) = 840
GCD(120, 210) = ( 120 x 210 ) / 840
= 120 / 210
= 120
Step2:
LCM(30, 952) = 14280
GCD(30, 952) = ( 30 x 952 ) / 14280
= 30 / 952
= 30
Step3:
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
= 2 / 441
= 2
So, Greatest Common Divisor of 120, 210, 952, 441 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 210, 952, 441
The greatest common divisor of numbers 120, 210, 952, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 210, 952, 441 is 1.
1. What is the GCD of 120, 210, 952, 441?
GCD of given numbers 120, 210, 952, 441 is 1
2. How to calculate the greatest common divisor of 120, 210, 952, 441?
We can find the highest common divisor of 120, 210, 952, 441 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 120, 210, 952, 441 i.e 1.
3. How can I use the GCD of 120, 210, 952, 441Calculator?
Out the numbers 120, 210, 952, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.