GCD of 498, 632, 490, 450 Calculator

Given Input numbers are 498, 632, 490, 450

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (498, 632, 490, 450) = 2.

Given numbers are 498, 632, 490, 450

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 632 are 2 x 2 x 2 x 79

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 498, 632, 490, 450 is 2.

Given numbers are 498, 632, 490, 450

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

Apply this formula for all numbers.

Step1:

LCM(498, 632) = 157368

GCD(498, 632) = ( 498 x 632 ) / 157368

= 498 / 632

= 498

Step2:

LCM(2, 490) = 490

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

= 2 / 490

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 498, 632, 490, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 873, 991, 278
• GCD of 968, 102, 788, 330
• GCD of 306, 584, 273, 234
• GCD of 787, 217, 615, 284
• GCD of 497, 995, 834, 486

Given numbers are 498, 632, 490, 450
The greatest common divisor of numbers 498, 632, 490, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 632, 490, 450 is 2.

1. What is the GCD of 498, 632, 490, 450?

GCD of given numbers 498, 632, 490, 450 is 2

2. How to calculate the greatest common divisor of 498, 632, 490, 450?

We can find the highest common divisor of 498, 632, 490, 450 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 498, 632, 490, 450 i.e 2.

3. How can I use the GCD of 498, 632, 490, 450Calculator?

Out the numbers 498, 632, 490, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.