GCD of 560, 112, 972, 182 Calculator

Given Input numbers are 560, 112, 972, 182

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (560, 112, 972, 182) = 2.

Given numbers are 560, 112, 972, 182

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 560, 112, 972, 182 is 2.

Given numbers are 560, 112, 972, 182

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, 972) = 27216

GCD(112, 972) = ( 112 x 972 ) / 27216

= 112 / 972

= 112

Step3:

LCM(4, 182) = 364

GCD(4, 182) = ( 4 x 182 ) / 364

= 4 / 182

= 4

So, Greatest Common Divisor of 560, 112, 972, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 782, 427, 177
• GCD of 865, 103, 954, 857
• GCD of 575, 521, 935, 217
• GCD of 376, 348, 885, 143
• GCD of 336, 405, 625, 659

Given numbers are 560, 112, 972, 182
The greatest common divisor of numbers 560, 112, 972, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 112, 972, 182 is 2.

1. What is the GCD of 560, 112, 972, 182?

GCD of given numbers 560, 112, 972, 182 is 2

2. How to calculate the greatest common divisor of 560, 112, 972, 182?

We can find the highest common divisor of 560, 112, 972, 182 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, 972, 182 i.e 2.

3. How can I use the GCD of 560, 112, 972, 182Calculator?

Out the numbers 560, 112, 972, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.