GCD of 171, 762, 213, 429 Calculator

Given Input numbers are 171, 762, 213, 429

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (171, 762, 213, 429) = 3.

Given numbers are 171, 762, 213, 429

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 762 are 2 x 3 x 127

Prime factors of 213 are 3 x 71

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 171, 762, 213, 429 is 3.

Given numbers are 171, 762, 213, 429

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

Apply this formula for all numbers.

Step1:

LCM(171, 762) = 43434

GCD(171, 762) = ( 171 x 762 ) / 43434

= 171 / 762

= 171

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

So, Greatest Common Divisor of 171, 762, 213, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 860, 407, 772
• GCD of 158, 229, 117, 106
• GCD of 908, 514, 962, 213
• GCD of 379, 413, 925, 969
• GCD of 853, 650, 514, 322

Given numbers are 171, 762, 213, 429
The greatest common divisor of numbers 171, 762, 213, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 762, 213, 429 is 3.

1. What is the GCD of 171, 762, 213, 429?

GCD of given numbers 171, 762, 213, 429 is 3

2. How to calculate the greatest common divisor of 171, 762, 213, 429?

We can find the highest common divisor of 171, 762, 213, 429 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 171, 762, 213, 429 i.e 3.

3. How can I use the GCD of 171, 762, 213, 429Calculator?

Out the numbers 171, 762, 213, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.