GCD of 565, 500, 614, 677 Calculator

Given Input numbers are 565, 500, 614, 677

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (565, 500, 614, 677) = 1.

Given numbers are 565, 500, 614, 677

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

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

Prime factors of 614 are 2 x 307

Prime factors of 677 are 677

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

Given numbers are 565, 500, 614, 677

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

Apply this formula for all numbers.

Step1:

LCM(565, 500) = 56500

GCD(565, 500) = ( 565 x 500 ) / 56500

= 565 / 500

= 565

Step2:

LCM(5, 614) = 3070

GCD(5, 614) = ( 5 x 614 ) / 3070

= 5 / 614

= 5

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 565, 500, 614, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 519, 968, 107
• GCD of 889, 250, 869, 648
• GCD of 597, 689, 550, 697
• GCD of 540, 225, 225, 959
• GCD of 821, 595, 341, 517

Given numbers are 565, 500, 614, 677
The greatest common divisor of numbers 565, 500, 614, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 500, 614, 677 is 1.

1. What is the GCD of 565, 500, 614, 677?

GCD of given numbers 565, 500, 614, 677 is 1

2. How to calculate the greatest common divisor of 565, 500, 614, 677?

We can find the highest common divisor of 565, 500, 614, 677 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 565, 500, 614, 677 i.e 1.

3. How can I use the GCD of 565, 500, 614, 677Calculator?

Out the numbers 565, 500, 614, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.