GCD of 298, 343, 207, 320 Calculator

Given Input numbers are 298, 343, 207, 320

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (298, 343, 207, 320) = 1.

Given numbers are 298, 343, 207, 320

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 343 are 7 x 7 x 7

Prime factors of 207 are 3 x 3 x 23

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 298, 343, 207, 320

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

Apply this formula for all numbers.

Step1:

LCM(298, 343) = 102214

GCD(298, 343) = ( 298 x 343 ) / 102214

= 298 / 343

= 298

Step2:

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

= 1 / 207

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 298, 343, 207, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 929, 580, 391
• GCD of 643, 753, 208, 388
• GCD of 349, 593, 918, 283
• GCD of 601, 134, 379, 846
• GCD of 222, 322, 402, 504

Given numbers are 298, 343, 207, 320
The greatest common divisor of numbers 298, 343, 207, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 343, 207, 320 is 1.

1. What is the GCD of 298, 343, 207, 320?

GCD of given numbers 298, 343, 207, 320 is 1

2. How to calculate the greatest common divisor of 298, 343, 207, 320?

We can find the highest common divisor of 298, 343, 207, 320 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 298, 343, 207, 320 i.e 1.

3. How can I use the GCD of 298, 343, 207, 320Calculator?

Out the numbers 298, 343, 207, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.