GCD of 686, 850, 268, 768 Calculator

Given Input numbers are 686, 850, 268, 768

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (686, 850, 268, 768) = 2.

Given numbers are 686, 850, 268, 768

The list of prime factors of all numbers are

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

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 268 are 2 x 2 x 67

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 686, 850, 268, 768 is 2.

Given numbers are 686, 850, 268, 768

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

Apply this formula for all numbers.

Step1:

LCM(686, 850) = 291550

GCD(686, 850) = ( 686 x 850 ) / 291550

= 686 / 850

= 686

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 686, 850, 268, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 677, 993, 242
• GCD of 951, 260, 636, 884
• GCD of 744, 532, 207, 112
• GCD of 586, 652, 899, 503
• GCD of 190, 874, 901, 458

Given numbers are 686, 850, 268, 768
The greatest common divisor of numbers 686, 850, 268, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 850, 268, 768 is 2.

1. What is the GCD of 686, 850, 268, 768?

GCD of given numbers 686, 850, 268, 768 is 2

2. How to calculate the greatest common divisor of 686, 850, 268, 768?

We can find the highest common divisor of 686, 850, 268, 768 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, 850, 268, 768 i.e 2.

3. How can I use the GCD of 686, 850, 268, 768Calculator?

Out the numbers 686, 850, 268, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.