GCD of 494, 343, 426, 212 Calculator

Given Input numbers are 494, 343, 426, 212

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (494, 343, 426, 212) = 1.

Given numbers are 494, 343, 426, 212

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 343 are 7 x 7 x 7

Prime factors of 426 are 2 x 3 x 71

Prime factors of 212 are 2 x 2 x 53

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

Given numbers are 494, 343, 426, 212

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

Apply this formula for all numbers.

Step1:

LCM(494, 343) = 169442

GCD(494, 343) = ( 494 x 343 ) / 169442

= 494 / 343

= 494

Step2:

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

= 1 / 426

= 1

Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1

So, Greatest Common Divisor of 494, 343, 426, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 570, 436, 161
• GCD of 992, 142, 807, 870
• GCD of 114, 163, 224, 741
• GCD of 641, 613, 696, 414
• GCD of 897, 128, 865, 306

Given numbers are 494, 343, 426, 212
The greatest common divisor of numbers 494, 343, 426, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 343, 426, 212 is 1.

1. What is the GCD of 494, 343, 426, 212?

GCD of given numbers 494, 343, 426, 212 is 1

2. How to calculate the greatest common divisor of 494, 343, 426, 212?

We can find the highest common divisor of 494, 343, 426, 212 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 494, 343, 426, 212 i.e 1.

3. How can I use the GCD of 494, 343, 426, 212Calculator?

Out the numbers 494, 343, 426, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.