GCD of 440, 616, 882, 142 Calculator

Given Input numbers are 440, 616, 882, 142

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 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 (440, 616, 882, 142) = 2.

Given numbers are 440, 616, 882, 142

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 440, 616, 882, 142 is 2.

Given numbers are 440, 616, 882, 142

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

Apply this formula for all numbers.

Step1:

LCM(440, 616) = 3080

GCD(440, 616) = ( 440 x 616 ) / 3080

= 440 / 616

= 440

Step2:

LCM(88, 882) = 38808

GCD(88, 882) = ( 88 x 882 ) / 38808

= 88 / 882

= 88

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 440, 616, 882, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 395, 103, 807
• GCD of 212, 977, 711, 277
• GCD of 523, 611, 667, 768
• GCD of 304, 960, 760, 741
• GCD of 888, 527, 605, 861

Given numbers are 440, 616, 882, 142
The greatest common divisor of numbers 440, 616, 882, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 616, 882, 142 is 2.

1. What is the GCD of 440, 616, 882, 142?

GCD of given numbers 440, 616, 882, 142 is 2

2. How to calculate the greatest common divisor of 440, 616, 882, 142?

We can find the highest common divisor of 440, 616, 882, 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 440, 616, 882, 142 i.e 2.

3. How can I use the GCD of 440, 616, 882, 142Calculator?

Out the numbers 440, 616, 882, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.