GCD of 920, 851, 749, 538 Calculator

Given Input numbers are 920, 851, 749, 538

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 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (920, 851, 749, 538) = 1.

Given numbers are 920, 851, 749, 538

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 851 are 23 x 37

Prime factors of 749 are 7 x 107

Prime factors of 538 are 2 x 269

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

Given numbers are 920, 851, 749, 538

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

Apply this formula for all numbers.

Step1:

LCM(920, 851) = 34040

GCD(920, 851) = ( 920 x 851 ) / 34040

= 920 / 851

= 920

Step2:

LCM(23, 749) = 17227

GCD(23, 749) = ( 23 x 749 ) / 17227

= 23 / 749

= 23

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 920, 851, 749, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 728, 375, 723
• GCD of 336, 957, 379, 727
• GCD of 522, 866, 241, 907
• GCD of 827, 433, 252, 225
• GCD of 833, 368, 554, 584

Given numbers are 920, 851, 749, 538
The greatest common divisor of numbers 920, 851, 749, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 851, 749, 538 is 1.

1. What is the GCD of 920, 851, 749, 538?

GCD of given numbers 920, 851, 749, 538 is 1

2. How to calculate the greatest common divisor of 920, 851, 749, 538?

We can find the highest common divisor of 920, 851, 749, 538 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, 851, 749, 538 i.e 1.

3. How can I use the GCD of 920, 851, 749, 538Calculator?

Out the numbers 920, 851, 749, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.