Online GCD Calculator is useful to find the GCD of 354, 311, 21, 862 quickly. Get the easiest ways to solve the greatest common divisor of 354, 311, 21, 862 i.e 1 in different methods as follows.
Given Input numbers are 354, 311, 21, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (354, 311, 21, 862) = 1.
Given numbers are 354, 311, 21, 862
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 311 are 311
Prime factors of 21 are 3 x 7
Prime factors of 862 are 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 354, 311, 21, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 311) = 110094
GCD(354, 311) = ( 354 x 311 ) / 110094
= 354 / 311
= 354
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
Step3:
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
= 1 / 862
= 1
So, Greatest Common Divisor of 354, 311, 21, 862 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 311, 21, 862
The greatest common divisor of numbers 354, 311, 21, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 311, 21, 862 is 1.
1. What is the GCD of 354, 311, 21, 862?
GCD of given numbers 354, 311, 21, 862 is 1
2. How to calculate the greatest common divisor of 354, 311, 21, 862?
We can find the highest common divisor of 354, 311, 21, 862 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 354, 311, 21, 862 i.e 1.
3. How can I use the GCD of 354, 311, 21, 862Calculator?
Out the numbers 354, 311, 21, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.