GCD of 700, 598, 60 Calculator

Given Input numbers are 700, 598, 60

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 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCD of numbers is the greatest common divisor

So, the GCD (700, 598, 60) = 2.

Given numbers are 700, 598, 60

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 60 are 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 700, 598, 60 is 2.

Given numbers are 700, 598, 60

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, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

So, Greatest Common Divisor of 700, 598, 60 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 763, 49
• GCD of 644, 680, 45
• GCD of 262, 369, 19
• GCD of 811, 505, 59
• GCD of 776, 631, 82

Given numbers are 700, 598, 60
The greatest common divisor of numbers 700, 598, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 598, 60 is 2.

1. What is the GCD of 700, 598, 60?

GCD of given numbers 700, 598, 60 is 2

2. How to calculate the greatest common divisor of 700, 598, 60?

We can find the highest common divisor of 700, 598, 60 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, 60 i.e 2.

3. How can I use the GCD of 700, 598, 60Calculator?

Out the numbers 700, 598, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.