Online GCD Calculator is useful to find the GCD of 296, 840, 731, 321 quickly. Get the easiest ways to solve the greatest common divisor of 296, 840, 731, 321 i.e 1 in different methods as follows.
Given Input numbers are 296, 840, 731, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (296, 840, 731, 321) = 1.
Given numbers are 296, 840, 731, 321
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 731 are 17 x 43
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 296, 840, 731, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 840) = 31080
GCD(296, 840) = ( 296 x 840 ) / 31080
= 296 / 840
= 296
Step2:
LCM(8, 731) = 5848
GCD(8, 731) = ( 8 x 731 ) / 5848
= 8 / 731
= 8
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 296, 840, 731, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 840, 731, 321
The greatest common divisor of numbers 296, 840, 731, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 840, 731, 321 is 1.
1. What is the GCD of 296, 840, 731, 321?
GCD of given numbers 296, 840, 731, 321 is 1
2. How to calculate the greatest common divisor of 296, 840, 731, 321?
We can find the highest common divisor of 296, 840, 731, 321 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 296, 840, 731, 321 i.e 1.
3. How can I use the GCD of 296, 840, 731, 321Calculator?
Out the numbers 296, 840, 731, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.