GCD of 340, 122, 29, 174 Calculator

Given Input numbers are 340, 122, 29, 174

In the factoring method, we have to find the divisors of all numbers

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (340, 122, 29, 174) = 1.

Given numbers are 340, 122, 29, 174

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 122 are 2 x 61

Prime factors of 29 are 29

Prime factors of 174 are 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 340, 122, 29, 174

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(340, 122) = 20740

GCD(340, 122) = ( 340 x 122 ) / 20740

= 340 / 122

= 340

Step2:

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

= 2 / 29

= 2

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 340, 122, 29, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 583, 53, 967
• GCD of 233, 899, 41, 246
• GCD of 990, 457, 20, 682
• GCD of 296, 388, 60, 580
• GCD of 467, 554, 45, 512

Given numbers are 340, 122, 29, 174
The greatest common divisor of numbers 340, 122, 29, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 122, 29, 174 is 1.

1. What is the GCD of 340, 122, 29, 174?

GCD of given numbers 340, 122, 29, 174 is 1

2. How to calculate the greatest common divisor of 340, 122, 29, 174?

We can find the highest common divisor of 340, 122, 29, 174 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 340, 122, 29, 174 i.e 1.

3. How can I use the GCD of 340, 122, 29, 174Calculator?

Out the numbers 340, 122, 29, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.