GCD of 108, 280, 734, 542 Calculator

Given Input numbers are 108, 280, 734, 542

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 (108, 280, 734, 542) = 2.

Given numbers are 108, 280, 734, 542

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 734 are 2 x 367

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 108, 280, 734, 542 is 2.

Given numbers are 108, 280, 734, 542

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

Apply this formula for all numbers.

Step1:

LCM(108, 280) = 7560

GCD(108, 280) = ( 108 x 280 ) / 7560

= 108 / 280

= 108

Step2:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4

Step3:

LCM(2, 542) = 542

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

= 2 / 542

= 2

So, Greatest Common Divisor of 108, 280, 734, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 734, 597, 558
• GCD of 773, 950, 889, 272
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• GCD of 790, 731, 899, 906
• GCD of 816, 426, 576, 444

Given numbers are 108, 280, 734, 542
The greatest common divisor of numbers 108, 280, 734, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 280, 734, 542 is 2.

1. What is the GCD of 108, 280, 734, 542?

GCD of given numbers 108, 280, 734, 542 is 2

2. How to calculate the greatest common divisor of 108, 280, 734, 542?

We can find the highest common divisor of 108, 280, 734, 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 108, 280, 734, 542 i.e 2.

3. How can I use the GCD of 108, 280, 734, 542Calculator?

Out the numbers 108, 280, 734, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.