GCD of 686, 616, 908, 542 Calculator

Given Input numbers are 686, 616, 908, 542

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

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 (686, 616, 908, 542) = 2.

Given numbers are 686, 616, 908, 542

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 908 are 2 x 2 x 227

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 686, 616, 908, 542 is 2.

Given numbers are 686, 616, 908, 542

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

Apply this formula for all numbers.

Step1:

LCM(686, 616) = 30184

GCD(686, 616) = ( 686 x 616 ) / 30184

= 686 / 616

= 686

Step2:

LCM(14, 908) = 6356

GCD(14, 908) = ( 14 x 908 ) / 6356

= 14 / 908

= 14

Step3:

LCM(2, 542) = 542

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

= 2 / 542

= 2

So, Greatest Common Divisor of 686, 616, 908, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 750, 676, 211
• GCD of 711, 981, 199, 919
• GCD of 404, 129, 581, 170
• GCD of 410, 738, 383, 975
• GCD of 849, 749, 851, 409

Given numbers are 686, 616, 908, 542
The greatest common divisor of numbers 686, 616, 908, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 616, 908, 542 is 2.

1. What is the GCD of 686, 616, 908, 542?

GCD of given numbers 686, 616, 908, 542 is 2

2. How to calculate the greatest common divisor of 686, 616, 908, 542?

We can find the highest common divisor of 686, 616, 908, 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 686, 616, 908, 542 i.e 2.

3. How can I use the GCD of 686, 616, 908, 542Calculator?

Out the numbers 686, 616, 908, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.