GCD of 274, 235, 420, 999 Calculator

Given Input numbers are 274, 235, 420, 999

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 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

GCD of numbers is the greatest common divisor

So, the GCD (274, 235, 420, 999) = 1.

Given numbers are 274, 235, 420, 999

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 235 are 5 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 999 are 3 x 3 x 3 x 37

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

Given numbers are 274, 235, 420, 999

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

Apply this formula for all numbers.

Step1:

LCM(274, 235) = 64390

GCD(274, 235) = ( 274 x 235 ) / 64390

= 274 / 235

= 274

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

So, Greatest Common Divisor of 274, 235, 420, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 556, 320, 629
• GCD of 452, 475, 513, 784
• GCD of 852, 750, 521, 369
• GCD of 149, 380, 536, 132
• GCD of 221, 105, 886, 592

Given numbers are 274, 235, 420, 999
The greatest common divisor of numbers 274, 235, 420, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 235, 420, 999 is 1.

1. What is the GCD of 274, 235, 420, 999?

GCD of given numbers 274, 235, 420, 999 is 1

2. How to calculate the greatest common divisor of 274, 235, 420, 999?

We can find the highest common divisor of 274, 235, 420, 999 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, 235, 420, 999 i.e 1.

3. How can I use the GCD of 274, 235, 420, 999Calculator?

Out the numbers 274, 235, 420, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.