GCD of 298, 198, 574, 376 Calculator

Given Input numbers are 298, 198, 574, 376

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (298, 198, 574, 376) = 2.

Given numbers are 298, 198, 574, 376

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 574 are 2 x 7 x 41

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 298, 198, 574, 376 is 2.

Given numbers are 298, 198, 574, 376

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

Apply this formula for all numbers.

Step1:

LCM(298, 198) = 29502

GCD(298, 198) = ( 298 x 198 ) / 29502

= 298 / 198

= 298

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 298, 198, 574, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 407, 630, 618
• GCD of 589, 969, 462, 106
• GCD of 362, 425, 216, 825
• GCD of 711, 145, 724, 262
• GCD of 569, 102, 666, 679

Given numbers are 298, 198, 574, 376
The greatest common divisor of numbers 298, 198, 574, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 198, 574, 376 is 2.

1. What is the GCD of 298, 198, 574, 376?

GCD of given numbers 298, 198, 574, 376 is 2

2. How to calculate the greatest common divisor of 298, 198, 574, 376?

We can find the highest common divisor of 298, 198, 574, 376 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, 198, 574, 376 i.e 2.

3. How can I use the GCD of 298, 198, 574, 376Calculator?

Out the numbers 298, 198, 574, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.