GCD of 476, 918, 360, 508 Calculator

Given Input numbers are 476, 918, 360, 508

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (476, 918, 360, 508) = 2.

Given numbers are 476, 918, 360, 508

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 476, 918, 360, 508 is 2.

Given numbers are 476, 918, 360, 508

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

Apply this formula for all numbers.

Step1:

LCM(476, 918) = 12852

GCD(476, 918) = ( 476 x 918 ) / 12852

= 476 / 918

= 476

Step2:

LCM(34, 360) = 6120

GCD(34, 360) = ( 34 x 360 ) / 6120

= 34 / 360

= 34

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 476, 918, 360, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 855, 266, 231
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• GCD of 531, 890, 771, 457
• GCD of 143, 800, 591, 109
• GCD of 275, 996, 489, 541

Given numbers are 476, 918, 360, 508
The greatest common divisor of numbers 476, 918, 360, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 918, 360, 508 is 2.

1. What is the GCD of 476, 918, 360, 508?

GCD of given numbers 476, 918, 360, 508 is 2

2. How to calculate the greatest common divisor of 476, 918, 360, 508?

We can find the highest common divisor of 476, 918, 360, 508 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 476, 918, 360, 508 i.e 2.

3. How can I use the GCD of 476, 918, 360, 508Calculator?

Out the numbers 476, 918, 360, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.