GCD of 928, 220, 214, 121 Calculator

Given Input numbers are 928, 220, 214, 121

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

GCD of numbers is the greatest common divisor

So, the GCD (928, 220, 214, 121) = 1.

Given numbers are 928, 220, 214, 121

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 214 are 2 x 107

Prime factors of 121 are 11 x 11

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

Given numbers are 928, 220, 214, 121

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

Apply this formula for all numbers.

Step1:

LCM(928, 220) = 51040

GCD(928, 220) = ( 928 x 220 ) / 51040

= 928 / 220

= 928

Step2:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

Step3:

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

= 2 / 121

= 2

So, Greatest Common Divisor of 928, 220, 214, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 241, 625, 644
• GCD of 971, 192, 474, 850
• GCD of 808, 320, 880, 614
• GCD of 573, 894, 551, 181
• GCD of 633, 224, 582, 284

Given numbers are 928, 220, 214, 121
The greatest common divisor of numbers 928, 220, 214, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 220, 214, 121 is 1.

1. What is the GCD of 928, 220, 214, 121?

GCD of given numbers 928, 220, 214, 121 is 1

2. How to calculate the greatest common divisor of 928, 220, 214, 121?

We can find the highest common divisor of 928, 220, 214, 121 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 928, 220, 214, 121 i.e 1.

3. How can I use the GCD of 928, 220, 214, 121Calculator?

Out the numbers 928, 220, 214, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.