GCD of 308, 652, 898, 434 Calculator

Given Input numbers are 308, 652, 898, 434

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (308, 652, 898, 434) = 2.

Given numbers are 308, 652, 898, 434

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 652 are 2 x 2 x 163

Prime factors of 898 are 2 x 449

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 308, 652, 898, 434 is 2.

Given numbers are 308, 652, 898, 434

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

Apply this formula for all numbers.

Step1:

LCM(308, 652) = 50204

GCD(308, 652) = ( 308 x 652 ) / 50204

= 308 / 652

= 308

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

So, Greatest Common Divisor of 308, 652, 898, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 729, 790, 553
• GCD of 194, 953, 972, 914
• GCD of 436, 587, 386, 365
• GCD of 792, 139, 374, 898
• GCD of 328, 915, 615, 828

Given numbers are 308, 652, 898, 434
The greatest common divisor of numbers 308, 652, 898, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 652, 898, 434 is 2.

1. What is the GCD of 308, 652, 898, 434?

GCD of given numbers 308, 652, 898, 434 is 2

2. How to calculate the greatest common divisor of 308, 652, 898, 434?

We can find the highest common divisor of 308, 652, 898, 434 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 308, 652, 898, 434 i.e 2.

3. How can I use the GCD of 308, 652, 898, 434Calculator?

Out the numbers 308, 652, 898, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.