GCD of 298, 548, 150, 240 Calculator

Given Input numbers are 298, 548, 150, 240

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 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (298, 548, 150, 240) = 2.

Given numbers are 298, 548, 150, 240

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 548 are 2 x 2 x 137

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 298, 548, 150, 240 is 2.

Given numbers are 298, 548, 150, 240

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

Apply this formula for all numbers.

Step1:

LCM(298, 548) = 81652

GCD(298, 548) = ( 298 x 548 ) / 81652

= 298 / 548

= 298

Step2:

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

= 2 / 150

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 298, 548, 150, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 512, 221, 389
• GCD of 410, 387, 438, 987
• GCD of 548, 110, 230, 407
• GCD of 624, 335, 216, 882
• GCD of 235, 640, 249, 263

Given numbers are 298, 548, 150, 240
The greatest common divisor of numbers 298, 548, 150, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 548, 150, 240 is 2.

1. What is the GCD of 298, 548, 150, 240?

GCD of given numbers 298, 548, 150, 240 is 2

2. How to calculate the greatest common divisor of 298, 548, 150, 240?

We can find the highest common divisor of 298, 548, 150, 240 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, 548, 150, 240 i.e 2.

3. How can I use the GCD of 298, 548, 150, 240Calculator?

Out the numbers 298, 548, 150, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.