GCD of 494, 343, 374, 469 Calculator

Given Input numbers are 494, 343, 374, 469

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (494, 343, 374, 469) = 1.

Given numbers are 494, 343, 374, 469

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 374 are 2 x 11 x 17

Prime factors of 469 are 7 x 67

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

Given numbers are 494, 343, 374, 469

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, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

Step3:

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

= 1 / 469

= 1

So, Greatest Common Divisor of 494, 343, 374, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 992, 615, 734
• GCD of 229, 556, 566, 969
• GCD of 222, 946, 985, 799
• GCD of 199, 516, 839, 419
• GCD of 697, 733, 896, 674

Given numbers are 494, 343, 374, 469
The greatest common divisor of numbers 494, 343, 374, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 343, 374, 469 is 1.

1. What is the GCD of 494, 343, 374, 469?

GCD of given numbers 494, 343, 374, 469 is 1

2. How to calculate the greatest common divisor of 494, 343, 374, 469?

We can find the highest common divisor of 494, 343, 374, 469 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, 374, 469 i.e 1.

3. How can I use the GCD of 494, 343, 374, 469Calculator?

Out the numbers 494, 343, 374, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.