GCD of 496, 736, 120, 270 Calculator

Given Input numbers are 496, 736, 120, 270

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (496, 736, 120, 270) = 2.

Given numbers are 496, 736, 120, 270

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 496, 736, 120, 270 is 2.

Given numbers are 496, 736, 120, 270

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

Apply this formula for all numbers.

Step1:

LCM(496, 736) = 22816

GCD(496, 736) = ( 496 x 736 ) / 22816

= 496 / 736

= 496

Step2:

LCM(16, 120) = 240

GCD(16, 120) = ( 16 x 120 ) / 240

= 16 / 120

= 16

Step3:

LCM(8, 270) = 1080

GCD(8, 270) = ( 8 x 270 ) / 1080

= 8 / 270

= 8

So, Greatest Common Divisor of 496, 736, 120, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 481, 757, 951
• GCD of 525, 764, 865, 622
• GCD of 286, 939, 888, 318
• GCD of 522, 722, 125, 924
• GCD of 766, 201, 938, 358

Given numbers are 496, 736, 120, 270
The greatest common divisor of numbers 496, 736, 120, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 736, 120, 270 is 2.

1. What is the GCD of 496, 736, 120, 270?

GCD of given numbers 496, 736, 120, 270 is 2

2. How to calculate the greatest common divisor of 496, 736, 120, 270?

We can find the highest common divisor of 496, 736, 120, 270 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 496, 736, 120, 270 i.e 2.

3. How can I use the GCD of 496, 736, 120, 270Calculator?

Out the numbers 496, 736, 120, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.