Online GCD Calculator is useful to find the GCD of 146, 708, 22, 687 quickly. Get the easiest ways to solve the greatest common divisor of 146, 708, 22, 687 i.e 1 in different methods as follows.
Given Input numbers are 146, 708, 22, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (146, 708, 22, 687) = 1.
Given numbers are 146, 708, 22, 687
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 22 are 2 x 11
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 146, 708, 22, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 708) = 51684
GCD(146, 708) = ( 146 x 708 ) / 51684
= 146 / 708
= 146
Step2:
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
= 2 / 22
= 2
Step3:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 146, 708, 22, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 708, 22, 687
The greatest common divisor of numbers 146, 708, 22, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 708, 22, 687 is 1.
1. What is the GCD of 146, 708, 22, 687?
GCD of given numbers 146, 708, 22, 687 is 1
2. How to calculate the greatest common divisor of 146, 708, 22, 687?
We can find the highest common divisor of 146, 708, 22, 687 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 146, 708, 22, 687 i.e 1.
3. How can I use the GCD of 146, 708, 22, 687Calculator?
Out the numbers 146, 708, 22, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.