GCD of 720, 770, 598, 516 Calculator

Given Input numbers are 720, 770, 598, 516

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 598 :

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

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (720, 770, 598, 516) = 2.

Given numbers are 720, 770, 598, 516

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 598 are 2 x 13 x 23

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 720, 770, 598, 516 is 2.

Given numbers are 720, 770, 598, 516

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

Apply this formula for all numbers.

Step1:

LCM(720, 770) = 55440

GCD(720, 770) = ( 720 x 770 ) / 55440

= 720 / 770

= 720

Step2:

LCM(10, 598) = 2990

GCD(10, 598) = ( 10 x 598 ) / 2990

= 10 / 598

= 10

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 720, 770, 598, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 567, 914, 322
• GCD of 201, 684, 143, 366
• GCD of 559, 885, 837, 899
• GCD of 886, 759, 817, 107
• GCD of 585, 195, 919, 716

Given numbers are 720, 770, 598, 516
The greatest common divisor of numbers 720, 770, 598, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 770, 598, 516 is 2.

1. What is the GCD of 720, 770, 598, 516?

GCD of given numbers 720, 770, 598, 516 is 2

2. How to calculate the greatest common divisor of 720, 770, 598, 516?

We can find the highest common divisor of 720, 770, 598, 516 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 720, 770, 598, 516 i.e 2.

3. How can I use the GCD of 720, 770, 598, 516Calculator?

Out the numbers 720, 770, 598, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.