GCD of 764, 560, 598, 550 Calculator

Given Input numbers are 764, 560, 598, 550

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 598 :

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

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (764, 560, 598, 550) = 2.

Given numbers are 764, 560, 598, 550

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 598 are 2 x 13 x 23

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 764, 560, 598, 550 is 2.

Given numbers are 764, 560, 598, 550

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

Apply this formula for all numbers.

Step1:

LCM(764, 560) = 106960

GCD(764, 560) = ( 764 x 560 ) / 106960

= 764 / 560

= 764

Step2:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 764, 560, 598, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 515, 417, 946
• GCD of 405, 933, 587, 471
• GCD of 803, 375, 675, 255
• GCD of 278, 782, 745, 925
• GCD of 815, 726, 336, 387

Given numbers are 764, 560, 598, 550
The greatest common divisor of numbers 764, 560, 598, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 560, 598, 550 is 2.

1. What is the GCD of 764, 560, 598, 550?

GCD of given numbers 764, 560, 598, 550 is 2

2. How to calculate the greatest common divisor of 764, 560, 598, 550?

We can find the highest common divisor of 764, 560, 598, 550 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 764, 560, 598, 550 i.e 2.

3. How can I use the GCD of 764, 560, 598, 550Calculator?

Out the numbers 764, 560, 598, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.