GCD of 724, 894, 708, 734 Calculator

Given Input numbers are 724, 894, 708, 734

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 734 :

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

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (724, 894, 708, 734) = 2.

Given numbers are 724, 894, 708, 734

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 894 are 2 x 3 x 149

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 724, 894, 708, 734 is 2.

Given numbers are 724, 894, 708, 734

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

Apply this formula for all numbers.

Step1:

LCM(724, 894) = 323628

GCD(724, 894) = ( 724 x 894 ) / 323628

= 724 / 894

= 724

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

So, Greatest Common Divisor of 724, 894, 708, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 691, 855, 400
• GCD of 205, 306, 424, 982
• GCD of 379, 757, 648, 840
• GCD of 721, 242, 877, 161
• GCD of 656, 825, 929, 574

Given numbers are 724, 894, 708, 734
The greatest common divisor of numbers 724, 894, 708, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 894, 708, 734 is 2.

1. What is the GCD of 724, 894, 708, 734?

GCD of given numbers 724, 894, 708, 734 is 2

2. How to calculate the greatest common divisor of 724, 894, 708, 734?

We can find the highest common divisor of 724, 894, 708, 734 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 724, 894, 708, 734 i.e 2.

3. How can I use the GCD of 724, 894, 708, 734Calculator?

Out the numbers 724, 894, 708, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.