GCD of 376, 200, 224, 506 Calculator

Given Input numbers are 376, 200, 224, 506

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (376, 200, 224, 506) = 2.

Given numbers are 376, 200, 224, 506

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 376, 200, 224, 506 is 2.

Given numbers are 376, 200, 224, 506

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

Apply this formula for all numbers.

Step1:

LCM(376, 200) = 9400

GCD(376, 200) = ( 376 x 200 ) / 9400

= 376 / 200

= 376

Step2:

LCM(8, 224) = 224

GCD(8, 224) = ( 8 x 224 ) / 224

= 8 / 224

= 8

Step3:

LCM(8, 506) = 2024

GCD(8, 506) = ( 8 x 506 ) / 2024

= 8 / 506

= 8

So, Greatest Common Divisor of 376, 200, 224, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 725, 303, 541
• GCD of 319, 564, 425, 191
• GCD of 592, 251, 804, 565
• GCD of 593, 690, 484, 977
• GCD of 567, 154, 363, 835

Given numbers are 376, 200, 224, 506
The greatest common divisor of numbers 376, 200, 224, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 200, 224, 506 is 2.

1. What is the GCD of 376, 200, 224, 506?

GCD of given numbers 376, 200, 224, 506 is 2

2. How to calculate the greatest common divisor of 376, 200, 224, 506?

We can find the highest common divisor of 376, 200, 224, 506 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 376, 200, 224, 506 i.e 2.

3. How can I use the GCD of 376, 200, 224, 506Calculator?

Out the numbers 376, 200, 224, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.