GCD of 734, 862, 396, 680 Calculator

Given Input numbers are 734, 862, 396, 680

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (734, 862, 396, 680) = 2.

Given numbers are 734, 862, 396, 680

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 862 are 2 x 431

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 734, 862, 396, 680 is 2.

Given numbers are 734, 862, 396, 680

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

Apply this formula for all numbers.

Step1:

LCM(734, 862) = 316354

GCD(734, 862) = ( 734 x 862 ) / 316354

= 734 / 862

= 734

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 734, 862, 396, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 355, 317, 268
• GCD of 890, 291, 811, 195
• GCD of 743, 497, 592, 757
• GCD of 445, 471, 911, 109
• GCD of 758, 109, 140, 508

Given numbers are 734, 862, 396, 680
The greatest common divisor of numbers 734, 862, 396, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 862, 396, 680 is 2.

1. What is the GCD of 734, 862, 396, 680?

GCD of given numbers 734, 862, 396, 680 is 2

2. How to calculate the greatest common divisor of 734, 862, 396, 680?

We can find the highest common divisor of 734, 862, 396, 680 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 734, 862, 396, 680 i.e 2.

3. How can I use the GCD of 734, 862, 396, 680Calculator?

Out the numbers 734, 862, 396, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.