GCD of 560, 112, 238, 336 Calculator

Given Input numbers are 560, 112, 238, 336

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (560, 112, 238, 336) = 14.

Given numbers are 560, 112, 238, 336

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 238 are 2 x 7 x 17

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 560, 112, 238, 336 is 14.

Given numbers are 560, 112, 238, 336

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

Apply this formula for all numbers.

Step1:

LCM(560, 112) = 560

GCD(560, 112) = ( 560 x 112 ) / 560

= 560 / 112

= 560

Step2:

LCM(112, 238) = 1904

GCD(112, 238) = ( 112 x 238 ) / 1904

= 112 / 238

= 112

Step3:

LCM(14, 336) = 336

GCD(14, 336) = ( 14 x 336 ) / 336

= 14 / 336

= 14

So, Greatest Common Divisor of 560, 112, 238, 336 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 414, 802, 703
• GCD of 392, 771, 497, 879
• GCD of 662, 404, 296, 829
• GCD of 319, 426, 851, 566
• GCD of 712, 524, 132, 695

Given numbers are 560, 112, 238, 336
The greatest common divisor of numbers 560, 112, 238, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 112, 238, 336 is 14.

1. What is the GCD of 560, 112, 238, 336?

GCD of given numbers 560, 112, 238, 336 is 14

2. How to calculate the greatest common divisor of 560, 112, 238, 336?

We can find the highest common divisor of 560, 112, 238, 336 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 560, 112, 238, 336 i.e 14.

3. How can I use the GCD of 560, 112, 238, 336Calculator?

Out the numbers 560, 112, 238, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.