GCD of 920, 713, 428, 213 Calculator

Given Input numbers are 920, 713, 428, 213

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 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (920, 713, 428, 213) = 1.

Given numbers are 920, 713, 428, 213

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 713 are 23 x 31

Prime factors of 428 are 2 x 2 x 107

Prime factors of 213 are 3 x 71

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

Given numbers are 920, 713, 428, 213

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

Apply this formula for all numbers.

Step1:

LCM(920, 713) = 28520

GCD(920, 713) = ( 920 x 713 ) / 28520

= 920 / 713

= 920

Step2:

LCM(23, 428) = 9844

GCD(23, 428) = ( 23 x 428 ) / 9844

= 23 / 428

= 23

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 920, 713, 428, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 776, 671, 427
• GCD of 660, 286, 528, 666
• GCD of 631, 801, 631, 371
• GCD of 748, 216, 347, 141
• GCD of 974, 733, 959, 619

Given numbers are 920, 713, 428, 213
The greatest common divisor of numbers 920, 713, 428, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 713, 428, 213 is 1.

1. What is the GCD of 920, 713, 428, 213?

GCD of given numbers 920, 713, 428, 213 is 1

2. How to calculate the greatest common divisor of 920, 713, 428, 213?

We can find the highest common divisor of 920, 713, 428, 213 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, 713, 428, 213 i.e 1.

3. How can I use the GCD of 920, 713, 428, 213Calculator?

Out the numbers 920, 713, 428, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.