GCD of 874, 309, 418, 924 Calculator

Given Input numbers are 874, 309, 418, 924

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (874, 309, 418, 924) = 1.

Given numbers are 874, 309, 418, 924

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 309 are 3 x 103

Prime factors of 418 are 2 x 11 x 19

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Given numbers are 874, 309, 418, 924

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

Apply this formula for all numbers.

Step1:

LCM(874, 309) = 270066

GCD(874, 309) = ( 874 x 309 ) / 270066

= 874 / 309

= 874

Step2:

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

= 1 / 418

= 1

Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

So, Greatest Common Divisor of 874, 309, 418, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 698, 505, 429
• GCD of 863, 480, 414, 460
• GCD of 350, 972, 961, 153
• GCD of 517, 715, 128, 628
• GCD of 529, 318, 876, 924

Given numbers are 874, 309, 418, 924
The greatest common divisor of numbers 874, 309, 418, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 309, 418, 924 is 1.

1. What is the GCD of 874, 309, 418, 924?

GCD of given numbers 874, 309, 418, 924 is 1

2. How to calculate the greatest common divisor of 874, 309, 418, 924?

We can find the highest common divisor of 874, 309, 418, 924 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 874, 309, 418, 924 i.e 1.

3. How can I use the GCD of 874, 309, 418, 924Calculator?

Out the numbers 874, 309, 418, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.