GCD of 688, 784, 882, 726 Calculator

Given Input numbers are 688, 784, 882, 726

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (688, 784, 882, 726) = 2.

Given numbers are 688, 784, 882, 726

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 688, 784, 882, 726 is 2.

Given numbers are 688, 784, 882, 726

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

Apply this formula for all numbers.

Step1:

LCM(688, 784) = 33712

GCD(688, 784) = ( 688 x 784 ) / 33712

= 688 / 784

= 688

Step2:

LCM(16, 882) = 7056

GCD(16, 882) = ( 16 x 882 ) / 7056

= 16 / 882

= 16

Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

So, Greatest Common Divisor of 688, 784, 882, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 858, 414, 222
• GCD of 419, 718, 761, 896
• GCD of 455, 517, 887, 800
• GCD of 709, 184, 465, 472
• GCD of 374, 958, 698, 537

Given numbers are 688, 784, 882, 726
The greatest common divisor of numbers 688, 784, 882, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 784, 882, 726 is 2.

1. What is the GCD of 688, 784, 882, 726?

GCD of given numbers 688, 784, 882, 726 is 2

2. How to calculate the greatest common divisor of 688, 784, 882, 726?

We can find the highest common divisor of 688, 784, 882, 726 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 688, 784, 882, 726 i.e 2.

3. How can I use the GCD of 688, 784, 882, 726Calculator?

Out the numbers 688, 784, 882, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.