GCD of 142, 316, 882, 480 Calculator

Given Input numbers are 142, 316, 882, 480

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (142, 316, 882, 480) = 2.

Given numbers are 142, 316, 882, 480

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 316 are 2 x 2 x 79

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 142, 316, 882, 480 is 2.

Given numbers are 142, 316, 882, 480

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

Apply this formula for all numbers.

Step1:

LCM(142, 316) = 22436

GCD(142, 316) = ( 142 x 316 ) / 22436

= 142 / 316

= 142

Step2:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 142, 316, 882, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 799, 235, 577
• GCD of 257, 854, 898, 782
• GCD of 905, 294, 360, 693
• GCD of 277, 259, 236, 181
• GCD of 768, 526, 855, 412

Given numbers are 142, 316, 882, 480
The greatest common divisor of numbers 142, 316, 882, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 316, 882, 480 is 2.

1. What is the GCD of 142, 316, 882, 480?

GCD of given numbers 142, 316, 882, 480 is 2

2. How to calculate the greatest common divisor of 142, 316, 882, 480?

We can find the highest common divisor of 142, 316, 882, 480 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 142, 316, 882, 480 i.e 2.

3. How can I use the GCD of 142, 316, 882, 480Calculator?

Out the numbers 142, 316, 882, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.