GCD of 749, 318, 756, 958 Calculator

Given Input numbers are 749, 318, 756, 958

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (749, 318, 756, 958) = 1.

Given numbers are 749, 318, 756, 958

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 318 are 2 x 3 x 53

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 958 are 2 x 479

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

Given numbers are 749, 318, 756, 958

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

Apply this formula for all numbers.

Step1:

LCM(749, 318) = 238182

GCD(749, 318) = ( 749 x 318 ) / 238182

= 749 / 318

= 749

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1

So, Greatest Common Divisor of 749, 318, 756, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 582, 408, 752
• GCD of 258, 515, 592, 868
• GCD of 246, 744, 955, 931
• GCD of 268, 625, 418, 678
• GCD of 160, 354, 586, 945

Given numbers are 749, 318, 756, 958
The greatest common divisor of numbers 749, 318, 756, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 318, 756, 958 is 1.

1. What is the GCD of 749, 318, 756, 958?

GCD of given numbers 749, 318, 756, 958 is 1

2. How to calculate the greatest common divisor of 749, 318, 756, 958?

We can find the highest common divisor of 749, 318, 756, 958 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, 318, 756, 958 i.e 1.

3. How can I use the GCD of 749, 318, 756, 958Calculator?

Out the numbers 749, 318, 756, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.