GCD of 298, 358, 528, 340 Calculator

Given Input numbers are 298, 358, 528, 340

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (298, 358, 528, 340) = 2.

Given numbers are 298, 358, 528, 340

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 358 are 2 x 179

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 298, 358, 528, 340 is 2.

Given numbers are 298, 358, 528, 340

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

Apply this formula for all numbers.

Step1:

LCM(298, 358) = 53342

GCD(298, 358) = ( 298 x 358 ) / 53342

= 298 / 358

= 298

Step2:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

Step3:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

So, Greatest Common Divisor of 298, 358, 528, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 359, 185, 468
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Given numbers are 298, 358, 528, 340
The greatest common divisor of numbers 298, 358, 528, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 358, 528, 340 is 2.

1. What is the GCD of 298, 358, 528, 340?

GCD of given numbers 298, 358, 528, 340 is 2

2. How to calculate the greatest common divisor of 298, 358, 528, 340?

We can find the highest common divisor of 298, 358, 528, 340 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, 358, 528, 340 i.e 2.

3. How can I use the GCD of 298, 358, 528, 340Calculator?

Out the numbers 298, 358, 528, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.