Online GCD Calculator is useful to find the GCD of 142, 664, 162, 754 quickly. Get the easiest ways to solve the greatest common divisor of 142, 664, 162, 754 i.e 2 in different methods as follows.
Given Input numbers are 142, 664, 162, 754
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
GCD of numbers is the greatest common divisor
So, the GCD (142, 664, 162, 754) = 2.
Given numbers are 142, 664, 162, 754
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 754 are 2 x 13 x 29
The highest common occurrence is 21
Therefore, GCD of 142, 664, 162, 754 is 2.
Given numbers are 142, 664, 162, 754
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 664) = 47144
GCD(142, 664) = ( 142 x 664 ) / 47144
= 142 / 664
= 142
Step2:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
Step3:
LCM(2, 754) = 754
GCD(2, 754) = ( 2 x 754 ) / 754
= 2 / 754
= 2
So, Greatest Common Divisor of 142, 664, 162, 754 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 664, 162, 754
The greatest common divisor of numbers 142, 664, 162, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 664, 162, 754 is 2.
1. What is the GCD of 142, 664, 162, 754?
GCD of given numbers 142, 664, 162, 754 is 2
2. How to calculate the greatest common divisor of 142, 664, 162, 754?
We can find the highest common divisor of 142, 664, 162, 754 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 142, 664, 162, 754 i.e 2.
3. How can I use the GCD of 142, 664, 162, 754Calculator?
Out the numbers 142, 664, 162, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.