GCD of 440, 988, 492, 142 Calculator

Given Input numbers are 440, 988, 492, 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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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, 988, 492, 142) = 2.

Given numbers are 440, 988, 492, 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 988 are 2 x 2 x 13 x 19

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 440, 988, 492, 142 is 2.

Given numbers are 440, 988, 492, 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, 988) = 108680

GCD(440, 988) = ( 440 x 988 ) / 108680

= 440 / 988

= 440

Step2:

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

= 4 / 492

= 4

Step3:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

So, Greatest Common Divisor of 440, 988, 492, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 662, 817, 639
• GCD of 870, 710, 579, 410
• GCD of 570, 353, 512, 699
• GCD of 158, 793, 899, 250
• GCD of 448, 850, 184, 493

Given numbers are 440, 988, 492, 142
The greatest common divisor of numbers 440, 988, 492, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 988, 492, 142 is 2.

1. What is the GCD of 440, 988, 492, 142?

GCD of given numbers 440, 988, 492, 142 is 2

2. How to calculate the greatest common divisor of 440, 988, 492, 142?

We can find the highest common divisor of 440, 988, 492, 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, 988, 492, 142 i.e 2.

3. How can I use the GCD of 440, 988, 492, 142Calculator?

Out the numbers 440, 988, 492, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.