Online GCD Calculator is useful to find the GCD of 214, 699, 142, 846 quickly. Get the easiest ways to solve the greatest common divisor of 214, 699, 142, 846 i.e 1 in different methods as follows.
Given Input numbers are 214, 699, 142, 846
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
GCD of numbers is the greatest common divisor
So, the GCD (214, 699, 142, 846) = 1.
Given numbers are 214, 699, 142, 846
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 699 are 3 x 233
Prime factors of 142 are 2 x 71
Prime factors of 846 are 2 x 3 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 214, 699, 142, 846
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 699) = 149586
GCD(214, 699) = ( 214 x 699 ) / 149586
= 214 / 699
= 214
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
= 1 / 846
= 1
So, Greatest Common Divisor of 214, 699, 142, 846 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 214, 699, 142, 846
The greatest common divisor of numbers 214, 699, 142, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 699, 142, 846 is 1.
1. What is the GCD of 214, 699, 142, 846?
GCD of given numbers 214, 699, 142, 846 is 1
2. How to calculate the greatest common divisor of 214, 699, 142, 846?
We can find the highest common divisor of 214, 699, 142, 846 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 214, 699, 142, 846 i.e 1.
3. How can I use the GCD of 214, 699, 142, 846Calculator?
Out the numbers 214, 699, 142, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.