GCD of 758, 816, 120, 538 Calculator

Given Input numbers are 758, 816, 120, 538

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (758, 816, 120, 538) = 2.

Given numbers are 758, 816, 120, 538

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 758, 816, 120, 538 is 2.

Given numbers are 758, 816, 120, 538

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

Apply this formula for all numbers.

Step1:

LCM(758, 816) = 309264

GCD(758, 816) = ( 758 x 816 ) / 309264

= 758 / 816

= 758

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 538) = 538

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

= 2 / 538

= 2

So, Greatest Common Divisor of 758, 816, 120, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 887, 720, 681
• GCD of 129, 114, 546, 175
• GCD of 597, 885, 578, 809
• GCD of 150, 830, 561, 454
• GCD of 594, 996, 905, 797

Given numbers are 758, 816, 120, 538
The greatest common divisor of numbers 758, 816, 120, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 816, 120, 538 is 2.

1. What is the GCD of 758, 816, 120, 538?

GCD of given numbers 758, 816, 120, 538 is 2

2. How to calculate the greatest common divisor of 758, 816, 120, 538?

We can find the highest common divisor of 758, 816, 120, 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 758, 816, 120, 538 i.e 2.

3. How can I use the GCD of 758, 816, 120, 538Calculator?

Out the numbers 758, 816, 120, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.