GCD of 710, 565, 355, 825 Calculator

Given Input numbers are 710, 565, 355, 825

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 565 :

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

1, 5, 113, 565

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (710, 565, 355, 825) = 5.

Given numbers are 710, 565, 355, 825

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 565 are 5 x 113

Prime factors of 355 are 5 x 71

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 710, 565, 355, 825 is 5.

Given numbers are 710, 565, 355, 825

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

Apply this formula for all numbers.

Step1:

LCM(710, 565) = 80230

GCD(710, 565) = ( 710 x 565 ) / 80230

= 710 / 565

= 710

Step2:

LCM(5, 355) = 355

GCD(5, 355) = ( 5 x 355 ) / 355

= 5 / 355

= 5

Step3:

LCM(5, 825) = 825

GCD(5, 825) = ( 5 x 825 ) / 825

= 5 / 825

= 5

So, Greatest Common Divisor of 710, 565, 355, 825 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 362, 556, 583
• GCD of 582, 654, 855, 140
• GCD of 264, 999, 470, 491
• GCD of 256, 571, 544, 902
• GCD of 231, 215, 743, 632

Given numbers are 710, 565, 355, 825
The greatest common divisor of numbers 710, 565, 355, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 565, 355, 825 is 5.

1. What is the GCD of 710, 565, 355, 825?

GCD of given numbers 710, 565, 355, 825 is 5

2. How to calculate the greatest common divisor of 710, 565, 355, 825?

We can find the highest common divisor of 710, 565, 355, 825 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 710, 565, 355, 825 i.e 5.

3. How can I use the GCD of 710, 565, 355, 825Calculator?

Out the numbers 710, 565, 355, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.