GCD of 221, 224, 278, 364 Calculator

Given Input numbers are 221, 224, 278, 364

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (221, 224, 278, 364) = 1.

Given numbers are 221, 224, 278, 364

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 278 are 2 x 139

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 221, 224, 278, 364

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

Apply this formula for all numbers.

Step1:

LCM(221, 224) = 49504

GCD(221, 224) = ( 221 x 224 ) / 49504

= 221 / 224

= 221

Step2:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 221, 224, 278, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 461, 838, 198
• GCD of 425, 809, 726, 263
• GCD of 245, 938, 119, 140
• GCD of 523, 746, 193, 557
• GCD of 211, 112, 277, 577

Given numbers are 221, 224, 278, 364
The greatest common divisor of numbers 221, 224, 278, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 224, 278, 364 is 1.

1. What is the GCD of 221, 224, 278, 364?

GCD of given numbers 221, 224, 278, 364 is 1

2. How to calculate the greatest common divisor of 221, 224, 278, 364?

We can find the highest common divisor of 221, 224, 278, 364 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 221, 224, 278, 364 i.e 1.

3. How can I use the GCD of 221, 224, 278, 364Calculator?

Out the numbers 221, 224, 278, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.