Online GCD Calculator is useful to find the GCD of 362, 940, 417, 749 quickly. Get the easiest ways to solve the greatest common divisor of 362, 940, 417, 749 i.e 1 in different methods as follows.
Given Input numbers are 362, 940, 417, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 417 :
The positive integer divisors of 417 that completely divides 417 are.
1, 3, 139, 417
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (362, 940, 417, 749) = 1.
Given numbers are 362, 940, 417, 749
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 417 are 3 x 139
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 940, 417, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 940) = 170140
GCD(362, 940) = ( 362 x 940 ) / 170140
= 362 / 940
= 362
Step2:
LCM(2, 417) = 834
GCD(2, 417) = ( 2 x 417 ) / 834
= 2 / 417
= 2
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 362, 940, 417, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 940, 417, 749
The greatest common divisor of numbers 362, 940, 417, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 940, 417, 749 is 1.
1. What is the GCD of 362, 940, 417, 749?
GCD of given numbers 362, 940, 417, 749 is 1
2. How to calculate the greatest common divisor of 362, 940, 417, 749?
We can find the highest common divisor of 362, 940, 417, 749 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 362, 940, 417, 749 i.e 1.
3. How can I use the GCD of 362, 940, 417, 749Calculator?
Out the numbers 362, 940, 417, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.