GCD of 134, 490, 213, 308 Calculator

Given Input numbers are 134, 490, 213, 308

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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

GCD of numbers is the greatest common divisor

So, the GCD (134, 490, 213, 308) = 1.

Given numbers are 134, 490, 213, 308

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 213 are 3 x 71

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 134, 490, 213, 308

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

Apply this formula for all numbers.

Step1:

LCM(134, 490) = 32830

GCD(134, 490) = ( 134 x 490 ) / 32830

= 134 / 490

= 134

Step2:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 134, 490, 213, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 423, 366, 423
• GCD of 113, 230, 906, 547
• GCD of 617, 325, 566, 566
• GCD of 192, 332, 638, 721
• GCD of 843, 139, 326, 909

Given numbers are 134, 490, 213, 308
The greatest common divisor of numbers 134, 490, 213, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 490, 213, 308 is 1.

1. What is the GCD of 134, 490, 213, 308?

GCD of given numbers 134, 490, 213, 308 is 1

2. How to calculate the greatest common divisor of 134, 490, 213, 308?

We can find the highest common divisor of 134, 490, 213, 308 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 134, 490, 213, 308 i.e 1.

3. How can I use the GCD of 134, 490, 213, 308Calculator?

Out the numbers 134, 490, 213, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.