GCD of 784, 148, 790, 532 Calculator

Given Input numbers are 784, 148, 790, 532

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

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (784, 148, 790, 532) = 2.

Given numbers are 784, 148, 790, 532

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 790 are 2 x 5 x 79

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 784, 148, 790, 532 is 2.

Given numbers are 784, 148, 790, 532

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

Apply this formula for all numbers.

Step1:

LCM(784, 148) = 29008

GCD(784, 148) = ( 784 x 148 ) / 29008

= 784 / 148

= 784

Step2:

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

= 4 / 790

= 4

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 784, 148, 790, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 678, 820, 813
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Given numbers are 784, 148, 790, 532
The greatest common divisor of numbers 784, 148, 790, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 148, 790, 532 is 2.

1. What is the GCD of 784, 148, 790, 532?

GCD of given numbers 784, 148, 790, 532 is 2

2. How to calculate the greatest common divisor of 784, 148, 790, 532?

We can find the highest common divisor of 784, 148, 790, 532 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 784, 148, 790, 532 i.e 2.

3. How can I use the GCD of 784, 148, 790, 532Calculator?

Out the numbers 784, 148, 790, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.