GCD of 540, 952, 221, 349 Calculator

Given Input numbers are 540, 952, 221, 349

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (540, 952, 221, 349) = 1.

Given numbers are 540, 952, 221, 349

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 221 are 13 x 17

Prime factors of 349 are 349

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

Given numbers are 540, 952, 221, 349

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

Apply this formula for all numbers.

Step1:

LCM(540, 952) = 128520

GCD(540, 952) = ( 540 x 952 ) / 128520

= 540 / 952

= 540

Step2:

LCM(4, 221) = 884

GCD(4, 221) = ( 4 x 221 ) / 884

= 4 / 221

= 4

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 540, 952, 221, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 238, 393, 745
• GCD of 484, 743, 897, 896
• GCD of 803, 472, 143, 896
• GCD of 113, 561, 520, 570
• GCD of 571, 963, 211, 856

Given numbers are 540, 952, 221, 349
The greatest common divisor of numbers 540, 952, 221, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 952, 221, 349 is 1.

1. What is the GCD of 540, 952, 221, 349?

GCD of given numbers 540, 952, 221, 349 is 1

2. How to calculate the greatest common divisor of 540, 952, 221, 349?

We can find the highest common divisor of 540, 952, 221, 349 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 540, 952, 221, 349 i.e 1.

3. How can I use the GCD of 540, 952, 221, 349Calculator?

Out the numbers 540, 952, 221, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.