GCD of 734, 834, 172, 316 Calculator

Given Input numbers are 734, 834, 172, 316

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 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (734, 834, 172, 316) = 2.

Given numbers are 734, 834, 172, 316

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 834 are 2 x 3 x 139

Prime factors of 172 are 2 x 2 x 43

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 734, 834, 172, 316 is 2.

Given numbers are 734, 834, 172, 316

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

Apply this formula for all numbers.

Step1:

LCM(734, 834) = 306078

GCD(734, 834) = ( 734 x 834 ) / 306078

= 734 / 834

= 734

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 734, 834, 172, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 358, 495, 508
• GCD of 118, 788, 229, 101
• GCD of 490, 537, 115, 900
• GCD of 500, 785, 105, 221
• GCD of 682, 971, 198, 477

Given numbers are 734, 834, 172, 316
The greatest common divisor of numbers 734, 834, 172, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 834, 172, 316 is 2.

1. What is the GCD of 734, 834, 172, 316?

GCD of given numbers 734, 834, 172, 316 is 2

2. How to calculate the greatest common divisor of 734, 834, 172, 316?

We can find the highest common divisor of 734, 834, 172, 316 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, 834, 172, 316 i.e 2.

3. How can I use the GCD of 734, 834, 172, 316Calculator?

Out the numbers 734, 834, 172, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.