GCD of 792, 920, 698, 538 Calculator

Given Input numbers are 792, 920, 698, 538

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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 (792, 920, 698, 538) = 2.

Given numbers are 792, 920, 698, 538

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Prime factors of 698 are 2 x 349

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 792, 920, 698, 538 is 2.

Given numbers are 792, 920, 698, 538

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

Apply this formula for all numbers.

Step1:

LCM(792, 920) = 91080

GCD(792, 920) = ( 792 x 920 ) / 91080

= 792 / 920

= 792

Step2:

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

= 8 / 698

= 8

Step3:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 792, 920, 698, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 200, 658, 799
• GCD of 670, 344, 497, 213
• GCD of 665, 644, 722, 166
• GCD of 177, 513, 880, 743
• GCD of 946, 314, 478, 146

Given numbers are 792, 920, 698, 538
The greatest common divisor of numbers 792, 920, 698, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 920, 698, 538 is 2.

1. What is the GCD of 792, 920, 698, 538?

GCD of given numbers 792, 920, 698, 538 is 2

2. How to calculate the greatest common divisor of 792, 920, 698, 538?

We can find the highest common divisor of 792, 920, 698, 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 792, 920, 698, 538 i.e 2.

3. How can I use the GCD of 792, 920, 698, 538Calculator?

Out the numbers 792, 920, 698, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.