GCD of 508, 322, 490, 142 Calculator

Given Input numbers are 508, 322, 490, 142

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (508, 322, 490, 142) = 2.

Given numbers are 508, 322, 490, 142

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 322 are 2 x 7 x 23

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 508, 322, 490, 142 is 2.

Given numbers are 508, 322, 490, 142

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

Apply this formula for all numbers.

Step1:

LCM(508, 322) = 81788

GCD(508, 322) = ( 508 x 322 ) / 81788

= 508 / 322

= 508

Step2:

LCM(2, 490) = 490

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

= 2 / 490

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 508, 322, 490, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 919, 837, 636
• GCD of 601, 648, 879, 835
• GCD of 659, 534, 228, 980
• GCD of 213, 308, 186, 162
• GCD of 941, 944, 254, 454

Given numbers are 508, 322, 490, 142
The greatest common divisor of numbers 508, 322, 490, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 322, 490, 142 is 2.

1. What is the GCD of 508, 322, 490, 142?

GCD of given numbers 508, 322, 490, 142 is 2

2. How to calculate the greatest common divisor of 508, 322, 490, 142?

We can find the highest common divisor of 508, 322, 490, 142 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 508, 322, 490, 142 i.e 2.

3. How can I use the GCD of 508, 322, 490, 142Calculator?

Out the numbers 508, 322, 490, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.