GCD of 766, 520, 360, 826 Calculator

Given Input numbers are 766, 520, 360, 826

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (766, 520, 360, 826) = 2.

Given numbers are 766, 520, 360, 826

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 766, 520, 360, 826 is 2.

Given numbers are 766, 520, 360, 826

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

Apply this formula for all numbers.

Step1:

LCM(766, 520) = 199160

GCD(766, 520) = ( 766 x 520 ) / 199160

= 766 / 520

= 766

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 766, 520, 360, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 877, 269, 973
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• GCD of 718, 911, 568, 156
• GCD of 479, 900, 180, 746
• GCD of 744, 391, 883, 313

Given numbers are 766, 520, 360, 826
The greatest common divisor of numbers 766, 520, 360, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 520, 360, 826 is 2.

1. What is the GCD of 766, 520, 360, 826?

GCD of given numbers 766, 520, 360, 826 is 2

2. How to calculate the greatest common divisor of 766, 520, 360, 826?

We can find the highest common divisor of 766, 520, 360, 826 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 766, 520, 360, 826 i.e 2.

3. How can I use the GCD of 766, 520, 360, 826Calculator?

Out the numbers 766, 520, 360, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.