GCD of 382, 742, 988, 748 Calculator

Given Input numbers are 382, 742, 988, 748

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (382, 742, 988, 748) = 2.

Given numbers are 382, 742, 988, 748

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 742 are 2 x 7 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 382, 742, 988, 748 is 2.

Given numbers are 382, 742, 988, 748

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

Apply this formula for all numbers.

Step1:

LCM(382, 742) = 141722

GCD(382, 742) = ( 382 x 742 ) / 141722

= 382 / 742

= 382

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 382, 742, 988, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 407, 771, 229
• GCD of 245, 473, 420, 358
• GCD of 103, 533, 430, 403
• GCD of 887, 640, 271, 150
• GCD of 210, 971, 758, 384

Given numbers are 382, 742, 988, 748
The greatest common divisor of numbers 382, 742, 988, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 742, 988, 748 is 2.

1. What is the GCD of 382, 742, 988, 748?

GCD of given numbers 382, 742, 988, 748 is 2

2. How to calculate the greatest common divisor of 382, 742, 988, 748?

We can find the highest common divisor of 382, 742, 988, 748 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, 742, 988, 748 i.e 2.

3. How can I use the GCD of 382, 742, 988, 748Calculator?

Out the numbers 382, 742, 988, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.