GCD of 500, 456, 840, 374 Calculator

Given Input numbers are 500, 456, 840, 374

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (500, 456, 840, 374) = 2.

Given numbers are 500, 456, 840, 374

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 500, 456, 840, 374 is 2.

Given numbers are 500, 456, 840, 374

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

Apply this formula for all numbers.

Step1:

LCM(500, 456) = 57000

GCD(500, 456) = ( 500 x 456 ) / 57000

= 500 / 456

= 500

Step2:

LCM(4, 840) = 840

GCD(4, 840) = ( 4 x 840 ) / 840

= 4 / 840

= 4

Step3:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

So, Greatest Common Divisor of 500, 456, 840, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 812, 898, 383
• GCD of 112, 301, 263, 982
• GCD of 454, 977, 355, 921
• GCD of 709, 301, 589, 207
• GCD of 917, 169, 128, 734

Given numbers are 500, 456, 840, 374
The greatest common divisor of numbers 500, 456, 840, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 456, 840, 374 is 2.

1. What is the GCD of 500, 456, 840, 374?

GCD of given numbers 500, 456, 840, 374 is 2

2. How to calculate the greatest common divisor of 500, 456, 840, 374?

We can find the highest common divisor of 500, 456, 840, 374 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 500, 456, 840, 374 i.e 2.

3. How can I use the GCD of 500, 456, 840, 374Calculator?

Out the numbers 500, 456, 840, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.