GCD of 274, 432, 201, 214 Calculator

Given Input numbers are 274, 432, 201, 214

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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 (274, 432, 201, 214) = 1.

Given numbers are 274, 432, 201, 214

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 201 are 3 x 67

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 274, 432, 201, 214

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

Apply this formula for all numbers.

Step1:

LCM(274, 432) = 59184

GCD(274, 432) = ( 274 x 432 ) / 59184

= 274 / 432

= 274

Step2:

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

= 2 / 201

= 2

Step3:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 274, 432, 201, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 814, 351, 222
• GCD of 474, 283, 730, 940
• GCD of 396, 142, 274, 795
• GCD of 654, 323, 782, 103
• GCD of 670, 564, 838, 709

Given numbers are 274, 432, 201, 214
The greatest common divisor of numbers 274, 432, 201, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 432, 201, 214 is 1.

1. What is the GCD of 274, 432, 201, 214?

GCD of given numbers 274, 432, 201, 214 is 1

2. How to calculate the greatest common divisor of 274, 432, 201, 214?

We can find the highest common divisor of 274, 432, 201, 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 274, 432, 201, 214 i.e 1.

3. How can I use the GCD of 274, 432, 201, 214Calculator?

Out the numbers 274, 432, 201, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.