GCD of 480, 816, 684, 274 Calculator

Given Input numbers are 480, 816, 684, 274

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (480, 816, 684, 274) = 2.

Given numbers are 480, 816, 684, 274

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 480, 816, 684, 274 is 2.

Given numbers are 480, 816, 684, 274

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

Apply this formula for all numbers.

Step1:

LCM(480, 816) = 8160

GCD(480, 816) = ( 480 x 816 ) / 8160

= 480 / 816

= 480

Step2:

LCM(48, 684) = 2736

GCD(48, 684) = ( 48 x 684 ) / 2736

= 48 / 684

= 48

Step3:

LCM(12, 274) = 1644

GCD(12, 274) = ( 12 x 274 ) / 1644

= 12 / 274

= 12

So, Greatest Common Divisor of 480, 816, 684, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 248, 881, 538
• GCD of 269, 336, 765, 592
• GCD of 972, 411, 552, 663
• GCD of 693, 872, 190, 478
• GCD of 164, 553, 426, 556

Given numbers are 480, 816, 684, 274
The greatest common divisor of numbers 480, 816, 684, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 816, 684, 274 is 2.

1. What is the GCD of 480, 816, 684, 274?

GCD of given numbers 480, 816, 684, 274 is 2

2. How to calculate the greatest common divisor of 480, 816, 684, 274?

We can find the highest common divisor of 480, 816, 684, 274 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 480, 816, 684, 274 i.e 2.

3. How can I use the GCD of 480, 816, 684, 274Calculator?

Out the numbers 480, 816, 684, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.