GCD of 749, 142, 784, 322 Calculator

Given Input numbers are 749, 142, 784, 322

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

GCD of numbers is the greatest common divisor

So, the GCD (749, 142, 784, 322) = 1.

Given numbers are 749, 142, 784, 322

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 142 are 2 x 71

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

Prime factors of 322 are 2 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 749, 142, 784, 322

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

Apply this formula for all numbers.

Step1:

LCM(749, 142) = 106358

GCD(749, 142) = ( 749 x 142 ) / 106358

= 749 / 142

= 749

Step2:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

Step3:

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

= 1 / 322

= 1

So, Greatest Common Divisor of 749, 142, 784, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 234, 995, 416
• GCD of 129, 502, 720, 206
• GCD of 446, 212, 181, 788
• GCD of 371, 440, 366, 379
• GCD of 154, 788, 946, 748

Given numbers are 749, 142, 784, 322
The greatest common divisor of numbers 749, 142, 784, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 142, 784, 322 is 1.

1. What is the GCD of 749, 142, 784, 322?

GCD of given numbers 749, 142, 784, 322 is 1

2. How to calculate the greatest common divisor of 749, 142, 784, 322?

We can find the highest common divisor of 749, 142, 784, 322 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 749, 142, 784, 322 i.e 1.

3. How can I use the GCD of 749, 142, 784, 322Calculator?

Out the numbers 749, 142, 784, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.