GCD of 508, 940, 716, 542 Calculator

Given Input numbers are 508, 940, 716, 542

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 (508, 940, 716, 542) = 2.

Given numbers are 508, 940, 716, 542

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 716 are 2 x 2 x 179

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 508, 940, 716, 542 is 2.

Given numbers are 508, 940, 716, 542

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

Apply this formula for all numbers.

Step1:

LCM(508, 940) = 119380

GCD(508, 940) = ( 508 x 940 ) / 119380

= 508 / 940

= 508

Step2:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4

Step3:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

So, Greatest Common Divisor of 508, 940, 716, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 837, 691, 142
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Given numbers are 508, 940, 716, 542
The greatest common divisor of numbers 508, 940, 716, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 940, 716, 542 is 2.

1. What is the GCD of 508, 940, 716, 542?

GCD of given numbers 508, 940, 716, 542 is 2

2. How to calculate the greatest common divisor of 508, 940, 716, 542?

We can find the highest common divisor of 508, 940, 716, 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 508, 940, 716, 542 i.e 2.

3. How can I use the GCD of 508, 940, 716, 542Calculator?

Out the numbers 508, 940, 716, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.