GCD of 498, 160, 574, 146 Calculator

Given Input numbers are 498, 160, 574, 146

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 574 :

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

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (498, 160, 574, 146) = 2.

Given numbers are 498, 160, 574, 146

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 574 are 2 x 7 x 41

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 498, 160, 574, 146 is 2.

Given numbers are 498, 160, 574, 146

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

Apply this formula for all numbers.

Step1:

LCM(498, 160) = 39840

GCD(498, 160) = ( 498 x 160 ) / 39840

= 498 / 160

= 498

Step2:

LCM(2, 574) = 574

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

= 2 / 574

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 498, 160, 574, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 593, 981, 648
• GCD of 100, 481, 943, 928
• GCD of 117, 813, 548, 410
• GCD of 381, 833, 290, 152
• GCD of 574, 795, 542, 621

Given numbers are 498, 160, 574, 146
The greatest common divisor of numbers 498, 160, 574, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 160, 574, 146 is 2.

1. What is the GCD of 498, 160, 574, 146?

GCD of given numbers 498, 160, 574, 146 is 2

2. How to calculate the greatest common divisor of 498, 160, 574, 146?

We can find the highest common divisor of 498, 160, 574, 146 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, 160, 574, 146 i.e 2.

3. How can I use the GCD of 498, 160, 574, 146Calculator?

Out the numbers 498, 160, 574, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.