GCD of 562, 784, 722, 132 Calculator

Given Input numbers are 562, 784, 722, 132

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (562, 784, 722, 132) = 2.

Given numbers are 562, 784, 722, 132

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 722 are 2 x 19 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 562, 784, 722, 132 is 2.

Given numbers are 562, 784, 722, 132

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

Apply this formula for all numbers.

Step1:

LCM(562, 784) = 220304

GCD(562, 784) = ( 562 x 784 ) / 220304

= 562 / 784

= 562

Step2:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 562, 784, 722, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 355, 924, 503
• GCD of 241, 878, 243, 792
• GCD of 243, 874, 127, 982
• GCD of 662, 134, 127, 417
• GCD of 906, 610, 223, 549

Given numbers are 562, 784, 722, 132
The greatest common divisor of numbers 562, 784, 722, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 784, 722, 132 is 2.

1. What is the GCD of 562, 784, 722, 132?

GCD of given numbers 562, 784, 722, 132 is 2

2. How to calculate the greatest common divisor of 562, 784, 722, 132?

We can find the highest common divisor of 562, 784, 722, 132 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 562, 784, 722, 132 i.e 2.

3. How can I use the GCD of 562, 784, 722, 132Calculator?

Out the numbers 562, 784, 722, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.