GCD of 240, 462, 392, 100 Calculator

Given Input numbers are 240, 462, 392, 100

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (240, 462, 392, 100) = 2.

Given numbers are 240, 462, 392, 100

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 240, 462, 392, 100 is 2.

Given numbers are 240, 462, 392, 100

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

Apply this formula for all numbers.

Step1:

LCM(240, 462) = 18480

GCD(240, 462) = ( 240 x 462 ) / 18480

= 240 / 462

= 240

Step2:

LCM(6, 392) = 1176

GCD(6, 392) = ( 6 x 392 ) / 1176

= 6 / 392

= 6

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 240, 462, 392, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 652, 954, 982
• GCD of 813, 569, 453, 729
• GCD of 625, 373, 741, 276
• GCD of 719, 661, 394, 924
• GCD of 298, 639, 302, 675

Given numbers are 240, 462, 392, 100
The greatest common divisor of numbers 240, 462, 392, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 462, 392, 100 is 2.

1. What is the GCD of 240, 462, 392, 100?

GCD of given numbers 240, 462, 392, 100 is 2

2. How to calculate the greatest common divisor of 240, 462, 392, 100?

We can find the highest common divisor of 240, 462, 392, 100 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 240, 462, 392, 100 i.e 2.

3. How can I use the GCD of 240, 462, 392, 100Calculator?

Out the numbers 240, 462, 392, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.