GCD of 598, 374, 738, 998 Calculator

Given Input numbers are 598, 374, 738, 998

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (598, 374, 738, 998) = 2.

Given numbers are 598, 374, 738, 998

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 374 are 2 x 11 x 17

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 598, 374, 738, 998 is 2.

Given numbers are 598, 374, 738, 998

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

Apply this formula for all numbers.

Step1:

LCM(598, 374) = 111826

GCD(598, 374) = ( 598 x 374 ) / 111826

= 598 / 374

= 598

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 598, 374, 738, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 477, 232, 496
• GCD of 956, 321, 359, 444
• GCD of 607, 995, 484, 903
• GCD of 670, 374, 145, 172
• GCD of 994, 363, 468, 658

Given numbers are 598, 374, 738, 998
The greatest common divisor of numbers 598, 374, 738, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 374, 738, 998 is 2.

1. What is the GCD of 598, 374, 738, 998?

GCD of given numbers 598, 374, 738, 998 is 2

2. How to calculate the greatest common divisor of 598, 374, 738, 998?

We can find the highest common divisor of 598, 374, 738, 998 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 598, 374, 738, 998 i.e 2.

3. How can I use the GCD of 598, 374, 738, 998Calculator?

Out the numbers 598, 374, 738, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.