GCD of 796, 134, 400, 706 Calculator

Given Input numbers are 796, 134, 400, 706

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (796, 134, 400, 706) = 2.

Given numbers are 796, 134, 400, 706

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 134 are 2 x 67

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 796, 134, 400, 706 is 2.

Given numbers are 796, 134, 400, 706

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

Apply this formula for all numbers.

Step1:

LCM(796, 134) = 53332

GCD(796, 134) = ( 796 x 134 ) / 53332

= 796 / 134

= 796

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 796, 134, 400, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 535, 345, 673
• GCD of 124, 454, 549, 311
• GCD of 656, 591, 267, 520
• GCD of 647, 373, 866, 608
• GCD of 510, 516, 127, 230

Given numbers are 796, 134, 400, 706
The greatest common divisor of numbers 796, 134, 400, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 134, 400, 706 is 2.

1. What is the GCD of 796, 134, 400, 706?

GCD of given numbers 796, 134, 400, 706 is 2

2. How to calculate the greatest common divisor of 796, 134, 400, 706?

We can find the highest common divisor of 796, 134, 400, 706 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 796, 134, 400, 706 i.e 2.

3. How can I use the GCD of 796, 134, 400, 706Calculator?

Out the numbers 796, 134, 400, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.