GCD of 686, 778, 700, 508 Calculator

Given Input numbers are 686, 778, 700, 508

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 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (686, 778, 700, 508) = 2.

Given numbers are 686, 778, 700, 508

The list of prime factors of all numbers are

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

Prime factors of 778 are 2 x 389

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 686, 778, 700, 508 is 2.

Given numbers are 686, 778, 700, 508

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

Apply this formula for all numbers.

Step1:

LCM(686, 778) = 266854

GCD(686, 778) = ( 686 x 778 ) / 266854

= 686 / 778

= 686

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 686, 778, 700, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 517, 334, 347
• GCD of 545, 147, 209, 353
• GCD of 901, 445, 720, 870
• GCD of 915, 872, 932, 843
• GCD of 132, 731, 882, 418

Given numbers are 686, 778, 700, 508
The greatest common divisor of numbers 686, 778, 700, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 778, 700, 508 is 2.

1. What is the GCD of 686, 778, 700, 508?

GCD of given numbers 686, 778, 700, 508 is 2

2. How to calculate the greatest common divisor of 686, 778, 700, 508?

We can find the highest common divisor of 686, 778, 700, 508 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, 778, 700, 508 i.e 2.

3. How can I use the GCD of 686, 778, 700, 508Calculator?

Out the numbers 686, 778, 700, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.