GCD of 920, 706, 189, 253 Calculator

Given Input numbers are 920, 706, 189, 253

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (920, 706, 189, 253) = 1.

Given numbers are 920, 706, 189, 253

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 706 are 2 x 353

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 253 are 11 x 23

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

Given numbers are 920, 706, 189, 253

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

Apply this formula for all numbers.

Step1:

LCM(920, 706) = 324760

GCD(920, 706) = ( 920 x 706 ) / 324760

= 920 / 706

= 920

Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 920, 706, 189, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 128, 146, 808
• GCD of 926, 702, 334, 791
• GCD of 798, 748, 282, 876
• GCD of 840, 592, 902, 139
• GCD of 213, 674, 853, 338

Given numbers are 920, 706, 189, 253
The greatest common divisor of numbers 920, 706, 189, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 706, 189, 253 is 1.

1. What is the GCD of 920, 706, 189, 253?

GCD of given numbers 920, 706, 189, 253 is 1

2. How to calculate the greatest common divisor of 920, 706, 189, 253?

We can find the highest common divisor of 920, 706, 189, 253 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, 706, 189, 253 i.e 1.

3. How can I use the GCD of 920, 706, 189, 253Calculator?

Out the numbers 920, 706, 189, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.