GCD of 998, 380, 106, 746 Calculator

Given Input numbers are 998, 380, 106, 746

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (998, 380, 106, 746) = 2.

Given numbers are 998, 380, 106, 746

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 106 are 2 x 53

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 998, 380, 106, 746 is 2.

Given numbers are 998, 380, 106, 746

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

Apply this formula for all numbers.

Step1:

LCM(998, 380) = 189620

GCD(998, 380) = ( 998 x 380 ) / 189620

= 998 / 380

= 998

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 998, 380, 106, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 217, 878, 337
• GCD of 525, 321, 993, 321
• GCD of 736, 782, 971, 231
• GCD of 389, 351, 482, 384
• GCD of 904, 319, 301, 116

Given numbers are 998, 380, 106, 746
The greatest common divisor of numbers 998, 380, 106, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 380, 106, 746 is 2.

1. What is the GCD of 998, 380, 106, 746?

GCD of given numbers 998, 380, 106, 746 is 2

2. How to calculate the greatest common divisor of 998, 380, 106, 746?

We can find the highest common divisor of 998, 380, 106, 746 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 998, 380, 106, 746 i.e 2.

3. How can I use the GCD of 998, 380, 106, 746Calculator?

Out the numbers 998, 380, 106, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.