GCD of 920, 705, 524, 813 Calculator

Given Input numbers are 920, 705, 524, 813

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (920, 705, 524, 813) = 1.

Given numbers are 920, 705, 524, 813

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 705 are 3 x 5 x 47

Prime factors of 524 are 2 x 2 x 131

Prime factors of 813 are 3 x 271

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

Given numbers are 920, 705, 524, 813

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

Apply this formula for all numbers.

Step1:

LCM(920, 705) = 129720

GCD(920, 705) = ( 920 x 705 ) / 129720

= 920 / 705

= 920

Step2:

LCM(5, 524) = 2620

GCD(5, 524) = ( 5 x 524 ) / 2620

= 5 / 524

= 5

Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1

So, Greatest Common Divisor of 920, 705, 524, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 888, 809, 705
• GCD of 806, 104, 994, 841
• GCD of 357, 329, 570, 992
• GCD of 426, 882, 303, 123
• GCD of 574, 918, 333, 975

Given numbers are 920, 705, 524, 813
The greatest common divisor of numbers 920, 705, 524, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 705, 524, 813 is 1.

1. What is the GCD of 920, 705, 524, 813?

GCD of given numbers 920, 705, 524, 813 is 1

2. How to calculate the greatest common divisor of 920, 705, 524, 813?

We can find the highest common divisor of 920, 705, 524, 813 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 920, 705, 524, 813 i.e 1.

3. How can I use the GCD of 920, 705, 524, 813Calculator?

Out the numbers 920, 705, 524, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.