GCD of 114, 166, 742, 170 Calculator

Given Input numbers are 114, 166, 742, 170

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (114, 166, 742, 170) = 2.

Given numbers are 114, 166, 742, 170

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 166 are 2 x 83

Prime factors of 742 are 2 x 7 x 53

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 114, 166, 742, 170 is 2.

Given numbers are 114, 166, 742, 170

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

Apply this formula for all numbers.

Step1:

LCM(114, 166) = 9462

GCD(114, 166) = ( 114 x 166 ) / 9462

= 114 / 166

= 114

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 114, 166, 742, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 855, 209, 140
• GCD of 390, 965, 788, 621
• GCD of 603, 545, 814, 392
• GCD of 662, 947, 798, 269
• GCD of 819, 537, 371, 748

Given numbers are 114, 166, 742, 170
The greatest common divisor of numbers 114, 166, 742, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 166, 742, 170 is 2.

1. What is the GCD of 114, 166, 742, 170?

GCD of given numbers 114, 166, 742, 170 is 2

2. How to calculate the greatest common divisor of 114, 166, 742, 170?

We can find the highest common divisor of 114, 166, 742, 170 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 114, 166, 742, 170 i.e 2.

3. How can I use the GCD of 114, 166, 742, 170Calculator?

Out the numbers 114, 166, 742, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.