GCD of 474, 653, 338, 343 Calculator

Given Input numbers are 474, 653, 338, 343

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 343 :

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

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (474, 653, 338, 343) = 1.

Given numbers are 474, 653, 338, 343

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 653 are 653

Prime factors of 338 are 2 x 13 x 13

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 474, 653, 338, 343

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

Apply this formula for all numbers.

Step1:

LCM(474, 653) = 309522

GCD(474, 653) = ( 474 x 653 ) / 309522

= 474 / 653

= 474

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 474, 653, 338, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 325, 874, 701
• GCD of 968, 719, 784, 730
• GCD of 274, 319, 218, 434
• GCD of 137, 191, 966, 164
• GCD of 128, 372, 555, 220

Given numbers are 474, 653, 338, 343
The greatest common divisor of numbers 474, 653, 338, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 653, 338, 343 is 1.

1. What is the GCD of 474, 653, 338, 343?

GCD of given numbers 474, 653, 338, 343 is 1

2. How to calculate the greatest common divisor of 474, 653, 338, 343?

We can find the highest common divisor of 474, 653, 338, 343 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 474, 653, 338, 343 i.e 1.

3. How can I use the GCD of 474, 653, 338, 343Calculator?

Out the numbers 474, 653, 338, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.