GCD of 298, 600, 490, 120 Calculator

Given Input numbers are 298, 600, 490, 120

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (298, 600, 490, 120) = 2.

Given numbers are 298, 600, 490, 120

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 298, 600, 490, 120 is 2.

Given numbers are 298, 600, 490, 120

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

Apply this formula for all numbers.

Step1:

LCM(298, 600) = 89400

GCD(298, 600) = ( 298 x 600 ) / 89400

= 298 / 600

= 298

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 298, 600, 490, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 702, 283, 865
• GCD of 295, 685, 905, 874
• GCD of 755, 565, 799, 930
• GCD of 969, 724, 587, 623
• GCD of 631, 775, 454, 609

Given numbers are 298, 600, 490, 120
The greatest common divisor of numbers 298, 600, 490, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 600, 490, 120 is 2.

1. What is the GCD of 298, 600, 490, 120?

GCD of given numbers 298, 600, 490, 120 is 2

2. How to calculate the greatest common divisor of 298, 600, 490, 120?

We can find the highest common divisor of 298, 600, 490, 120 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, 600, 490, 120 i.e 2.

3. How can I use the GCD of 298, 600, 490, 120Calculator?

Out the numbers 298, 600, 490, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.