GCD of 782, 686, 842, 526 Calculator

Given Input numbers are 782, 686, 842, 526

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 686 :

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

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

GCD of numbers is the greatest common divisor

So, the GCD (782, 686, 842, 526) = 2.

Given numbers are 782, 686, 842, 526

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

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

Prime factors of 842 are 2 x 421

Prime factors of 526 are 2 x 263

The highest common occurrence is 2¹

Therefore, GCD of 782, 686, 842, 526 is 2.

Given numbers are 782, 686, 842, 526

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

Apply this formula for all numbers.

Step1:

LCM(782, 686) = 268226

GCD(782, 686) = ( 782 x 686 ) / 268226

= 782 / 686

= 782

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

= 2 / 526

= 2

So, Greatest Common Divisor of 782, 686, 842, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 570, 667, 973
• GCD of 904, 185, 525, 521
• GCD of 249, 799, 156, 516
• GCD of 396, 484, 447, 474
• GCD of 520, 120, 346, 514

Given numbers are 782, 686, 842, 526
The greatest common divisor of numbers 782, 686, 842, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 686, 842, 526 is 2.

1. What is the GCD of 782, 686, 842, 526?

GCD of given numbers 782, 686, 842, 526 is 2

2. How to calculate the greatest common divisor of 782, 686, 842, 526?

We can find the highest common divisor of 782, 686, 842, 526 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 782, 686, 842, 526 i.e 2.

3. How can I use the GCD of 782, 686, 842, 526Calculator?

Out the numbers 782, 686, 842, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.