Online GCD Calculator is useful to find the GCD of 162, 680, 140 quickly. Get the easiest ways to solve the greatest common divisor of 162, 680, 140 i.e 2 in different methods as follows.
Given Input numbers are 162, 680, 140
In the factoring method, we have to find the divisors of all numbers
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 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (162, 680, 140) = 2.
Given numbers are 162, 680, 140
The list of prime factors of all numbers are
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 162, 680, 140 is 2.
Given numbers are 162, 680, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(162, 680) = 55080
GCD(162, 680) = ( 162 x 680 ) / 55080
= 162 / 680
= 162
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 162, 680, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 162, 680, 140
The greatest common divisor of numbers 162, 680, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 680, 140 is 2.
1. What is the GCD of 162, 680, 140?
GCD of given numbers 162, 680, 140 is 2
2. How to calculate the greatest common divisor of 162, 680, 140?
We can find the highest common divisor of 162, 680, 140 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 162, 680, 140 i.e 2.
3. How can I use the GCD of 162, 680, 140Calculator?
Out the numbers 162, 680, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.