GCD of 960, 440, 546, 272 Calculator

Given Input numbers are 960, 440, 546, 272

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (960, 440, 546, 272) = 2.

Given numbers are 960, 440, 546, 272

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 960, 440, 546, 272 is 2.

Given numbers are 960, 440, 546, 272

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

Apply this formula for all numbers.

Step1:

LCM(960, 440) = 10560

GCD(960, 440) = ( 960 x 440 ) / 10560

= 960 / 440

= 960

Step2:

LCM(40, 546) = 10920

GCD(40, 546) = ( 40 x 546 ) / 10920

= 40 / 546

= 40

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 960, 440, 546, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 408, 315, 289
• GCD of 673, 608, 403, 488
• GCD of 875, 822, 144, 334
• GCD of 849, 701, 383, 371
• GCD of 652, 638, 929, 700

Given numbers are 960, 440, 546, 272
The greatest common divisor of numbers 960, 440, 546, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 440, 546, 272 is 2.

1. What is the GCD of 960, 440, 546, 272?

GCD of given numbers 960, 440, 546, 272 is 2

2. How to calculate the greatest common divisor of 960, 440, 546, 272?

We can find the highest common divisor of 960, 440, 546, 272 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 960, 440, 546, 272 i.e 2.

3. How can I use the GCD of 960, 440, 546, 272Calculator?

Out the numbers 960, 440, 546, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.