GCD of 748, 201, 414, 361 Calculator

Given Input numbers are 748, 201, 414, 361

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 201 :

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

1, 3, 67, 201

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (748, 201, 414, 361) = 1.

Given numbers are 748, 201, 414, 361

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 201 are 3 x 67

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 361 are 19 x 19

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

Given numbers are 748, 201, 414, 361

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

Apply this formula for all numbers.

Step1:

LCM(748, 201) = 150348

GCD(748, 201) = ( 748 x 201 ) / 150348

= 748 / 201

= 748

Step2:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 748, 201, 414, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 490, 981, 302
• GCD of 457, 371, 966, 489
• GCD of 327, 823, 260, 730
• GCD of 550, 185, 694, 673
• GCD of 809, 141, 350, 341

Given numbers are 748, 201, 414, 361
The greatest common divisor of numbers 748, 201, 414, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 201, 414, 361 is 1.

1. What is the GCD of 748, 201, 414, 361?

GCD of given numbers 748, 201, 414, 361 is 1

2. How to calculate the greatest common divisor of 748, 201, 414, 361?

We can find the highest common divisor of 748, 201, 414, 361 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 748, 201, 414, 361 i.e 1.

3. How can I use the GCD of 748, 201, 414, 361Calculator?

Out the numbers 748, 201, 414, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.