GCD of 351, 171, 742, 214 Calculator

Given Input numbers are 351, 171, 742, 214

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 742 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (351, 171, 742, 214) = 1.

Given numbers are 351, 171, 742, 214

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 171 are 3 x 3 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 214 are 2 x 107

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

Given numbers are 351, 171, 742, 214

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

Apply this formula for all numbers.

Step1:

LCM(351, 171) = 6669

GCD(351, 171) = ( 351 x 171 ) / 6669

= 351 / 171

= 351

Step2:

LCM(9, 742) = 6678

GCD(9, 742) = ( 9 x 742 ) / 6678

= 9 / 742

= 9

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 351, 171, 742, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 592, 925, 288
• GCD of 524, 984, 137, 312
• GCD of 889, 962, 137, 502
• GCD of 600, 691, 236, 432
• GCD of 492, 402, 241, 138

Given numbers are 351, 171, 742, 214
The greatest common divisor of numbers 351, 171, 742, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 171, 742, 214 is 1.

1. What is the GCD of 351, 171, 742, 214?

GCD of given numbers 351, 171, 742, 214 is 1

2. How to calculate the greatest common divisor of 351, 171, 742, 214?

We can find the highest common divisor of 351, 171, 742, 214 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 351, 171, 742, 214 i.e 1.

3. How can I use the GCD of 351, 171, 742, 214Calculator?

Out the numbers 351, 171, 742, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.