GCD of 500, 560, 470, 769 Calculator

Given Input numbers are 500, 560, 470, 769

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

GCD of numbers is the greatest common divisor

So, the GCD (500, 560, 470, 769) = 1.

Given numbers are 500, 560, 470, 769

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 769 are 769

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 500, 560, 470, 769

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

Apply this formula for all numbers.

Step1:

LCM(500, 560) = 14000

GCD(500, 560) = ( 500 x 560 ) / 14000

= 500 / 560

= 500

Step2:

LCM(20, 470) = 940

GCD(20, 470) = ( 20 x 470 ) / 940

= 20 / 470

= 20

Step3:

LCM(10, 769) = 7690

GCD(10, 769) = ( 10 x 769 ) / 7690

= 10 / 769

= 10

So, Greatest Common Divisor of 500, 560, 470, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 721, 611, 830
• GCD of 232, 461, 980, 634
• GCD of 518, 676, 990, 330
• GCD of 129, 849, 992, 604
• GCD of 275, 709, 955, 512

Given numbers are 500, 560, 470, 769
The greatest common divisor of numbers 500, 560, 470, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 560, 470, 769 is 1.

1. What is the GCD of 500, 560, 470, 769?

GCD of given numbers 500, 560, 470, 769 is 1

2. How to calculate the greatest common divisor of 500, 560, 470, 769?

We can find the highest common divisor of 500, 560, 470, 769 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 500, 560, 470, 769 i.e 1.

3. How can I use the GCD of 500, 560, 470, 769Calculator?

Out the numbers 500, 560, 470, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.