GCD of 700, 598, 558, 998 Calculator

Given Input numbers are 700, 598, 558, 998

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 598 :

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

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

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 (700, 598, 558, 998) = 2.

Given numbers are 700, 598, 558, 998

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 598 are 2 x 13 x 23

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 700, 598, 558, 998 is 2.

Given numbers are 700, 598, 558, 998

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

Apply this formula for all numbers.

Step1:

LCM(700, 598) = 209300

GCD(700, 598) = ( 700 x 598 ) / 209300

= 700 / 598

= 700

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 998) = 998

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

= 2 / 998

= 2

So, Greatest Common Divisor of 700, 598, 558, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 665, 224, 168
• GCD of 515, 182, 426, 614
• GCD of 973, 387, 530, 180
• GCD of 913, 311, 181, 130
• GCD of 768, 787, 425, 228

Given numbers are 700, 598, 558, 998
The greatest common divisor of numbers 700, 598, 558, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 598, 558, 998 is 2.

1. What is the GCD of 700, 598, 558, 998?

GCD of given numbers 700, 598, 558, 998 is 2

2. How to calculate the greatest common divisor of 700, 598, 558, 998?

We can find the highest common divisor of 700, 598, 558, 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 700, 598, 558, 998 i.e 2.

3. How can I use the GCD of 700, 598, 558, 998Calculator?

Out the numbers 700, 598, 558, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.