GCD of 749, 126, 936, 784 Calculator

Given Input numbers are 749, 126, 936, 784

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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

GCD of numbers is the greatest common divisor

So, the GCD (749, 126, 936, 784) = 1.

Given numbers are 749, 126, 936, 784

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

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

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

Given numbers are 749, 126, 936, 784

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

Apply this formula for all numbers.

Step1:

LCM(749, 126) = 13482

GCD(749, 126) = ( 749 x 126 ) / 13482

= 749 / 126

= 749

Step2:

LCM(7, 936) = 6552

GCD(7, 936) = ( 7 x 936 ) / 6552

= 7 / 936

= 7

Step3:

LCM(1, 784) = 784

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

= 1 / 784

= 1

So, Greatest Common Divisor of 749, 126, 936, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 920, 580, 285
• GCD of 430, 940, 114, 298
• GCD of 769, 807, 469, 948
• GCD of 605, 462, 941, 289
• GCD of 587, 441, 238, 239

Given numbers are 749, 126, 936, 784
The greatest common divisor of numbers 749, 126, 936, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 126, 936, 784 is 1.

1. What is the GCD of 749, 126, 936, 784?

GCD of given numbers 749, 126, 936, 784 is 1

2. How to calculate the greatest common divisor of 749, 126, 936, 784?

We can find the highest common divisor of 749, 126, 936, 784 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, 126, 936, 784 i.e 1.

3. How can I use the GCD of 749, 126, 936, 784Calculator?

Out the numbers 749, 126, 936, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.