GCD of 350, 816, 90, 542 Calculator

Given Input numbers are 350, 816, 90, 542

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (350, 816, 90, 542) = 2.

Given numbers are 350, 816, 90, 542

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 350, 816, 90, 542 is 2.

Given numbers are 350, 816, 90, 542

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

Apply this formula for all numbers.

Step1:

LCM(350, 816) = 142800

GCD(350, 816) = ( 350 x 816 ) / 142800

= 350 / 816

= 350

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

So, Greatest Common Divisor of 350, 816, 90, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 821, 23, 782
• GCD of 980, 625, 58, 897
• GCD of 474, 501, 86, 985
• GCD of 949, 747, 54, 664
• GCD of 368, 836, 58, 604

Given numbers are 350, 816, 90, 542
The greatest common divisor of numbers 350, 816, 90, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 816, 90, 542 is 2.

1. What is the GCD of 350, 816, 90, 542?

GCD of given numbers 350, 816, 90, 542 is 2

2. How to calculate the greatest common divisor of 350, 816, 90, 542?

We can find the highest common divisor of 350, 816, 90, 542 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 350, 816, 90, 542 i.e 2.

3. How can I use the GCD of 350, 816, 90, 542Calculator?

Out the numbers 350, 816, 90, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.