GCD of 382, 870, 770, 749 Calculator

Given Input numbers are 382, 870, 770, 749

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (382, 870, 770, 749) = 1.

Given numbers are 382, 870, 770, 749

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 749 are 7 x 107

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

Given numbers are 382, 870, 770, 749

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

Apply this formula for all numbers.

Step1:

LCM(382, 870) = 166170

GCD(382, 870) = ( 382 x 870 ) / 166170

= 382 / 870

= 382

Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 382, 870, 770, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 234, 377, 164
• GCD of 772, 458, 367, 181
• GCD of 296, 369, 304, 924
• GCD of 493, 129, 205, 660
• GCD of 134, 682, 226, 142

Given numbers are 382, 870, 770, 749
The greatest common divisor of numbers 382, 870, 770, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 870, 770, 749 is 1.

1. What is the GCD of 382, 870, 770, 749?

GCD of given numbers 382, 870, 770, 749 is 1

2. How to calculate the greatest common divisor of 382, 870, 770, 749?

We can find the highest common divisor of 382, 870, 770, 749 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 382, 870, 770, 749 i.e 1.

3. How can I use the GCD of 382, 870, 770, 749Calculator?

Out the numbers 382, 870, 770, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.