Online GCD Calculator is useful to find the GCD of 120, 193, 278, 948 quickly. Get the easiest ways to solve the greatest common divisor of 120, 193, 278, 948 i.e 1 in different methods as follows.
Given Input numbers are 120, 193, 278, 948
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 193 :
The positive integer divisors of 193 that completely divides 193 are.
1, 193
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (120, 193, 278, 948) = 1.
Given numbers are 120, 193, 278, 948
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 193 are 193
Prime factors of 278 are 2 x 139
Prime factors of 948 are 2 x 2 x 3 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 193, 278, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 193) = 23160
GCD(120, 193) = ( 120 x 193 ) / 23160
= 120 / 193
= 120
Step2:
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
= 1 / 278
= 1
Step3:
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
= 1 / 948
= 1
So, Greatest Common Divisor of 120, 193, 278, 948 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 193, 278, 948
The greatest common divisor of numbers 120, 193, 278, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 193, 278, 948 is 1.
1. What is the GCD of 120, 193, 278, 948?
GCD of given numbers 120, 193, 278, 948 is 1
2. How to calculate the greatest common divisor of 120, 193, 278, 948?
We can find the highest common divisor of 120, 193, 278, 948 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, 193, 278, 948 i.e 1.
3. How can I use the GCD of 120, 193, 278, 948Calculator?
Out the numbers 120, 193, 278, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.