GCD of 760, 658, 856, 822 Calculator

Given Input numbers are 760, 658, 856, 822

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (760, 658, 856, 822) = 2.

Given numbers are 760, 658, 856, 822

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 658 are 2 x 7 x 47

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 760, 658, 856, 822 is 2.

Given numbers are 760, 658, 856, 822

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

Apply this formula for all numbers.

Step1:

LCM(760, 658) = 250040

GCD(760, 658) = ( 760 x 658 ) / 250040

= 760 / 658

= 760

Step2:

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

= 2 / 856

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 760, 658, 856, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 175, 524, 613
• GCD of 427, 781, 656, 826
• GCD of 937, 387, 361, 858
• GCD of 568, 302, 875, 310
• GCD of 297, 429, 791, 317

Given numbers are 760, 658, 856, 822
The greatest common divisor of numbers 760, 658, 856, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 658, 856, 822 is 2.

1. What is the GCD of 760, 658, 856, 822?

GCD of given numbers 760, 658, 856, 822 is 2

2. How to calculate the greatest common divisor of 760, 658, 856, 822?

We can find the highest common divisor of 760, 658, 856, 822 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 760, 658, 856, 822 i.e 2.

3. How can I use the GCD of 760, 658, 856, 822Calculator?

Out the numbers 760, 658, 856, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.