GCD of 686, 498, 654, 820 Calculator

Given Input numbers are 686, 498, 654, 820

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (686, 498, 654, 820) = 2.

Given numbers are 686, 498, 654, 820

The list of prime factors of all numbers are

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

Prime factors of 498 are 2 x 3 x 83

Prime factors of 654 are 2 x 3 x 109

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 686, 498, 654, 820 is 2.

Given numbers are 686, 498, 654, 820

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

Apply this formula for all numbers.

Step1:

LCM(686, 498) = 170814

GCD(686, 498) = ( 686 x 498 ) / 170814

= 686 / 498

= 686

Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 686, 498, 654, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 917, 981, 168
• GCD of 235, 439, 427, 684
• GCD of 987, 881, 680, 112
• GCD of 714, 875, 515, 877
• GCD of 884, 746, 712, 429

Given numbers are 686, 498, 654, 820
The greatest common divisor of numbers 686, 498, 654, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 498, 654, 820 is 2.

1. What is the GCD of 686, 498, 654, 820?

GCD of given numbers 686, 498, 654, 820 is 2

2. How to calculate the greatest common divisor of 686, 498, 654, 820?

We can find the highest common divisor of 686, 498, 654, 820 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, 498, 654, 820 i.e 2.

3. How can I use the GCD of 686, 498, 654, 820Calculator?

Out the numbers 686, 498, 654, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.