GCD of 240, 282, 476, 202 Calculator

Given Input numbers are 240, 282, 476, 202

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (240, 282, 476, 202) = 2.

Given numbers are 240, 282, 476, 202

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 282 are 2 x 3 x 47

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 240, 282, 476, 202 is 2.

Given numbers are 240, 282, 476, 202

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

Apply this formula for all numbers.

Step1:

LCM(240, 282) = 11280

GCD(240, 282) = ( 240 x 282 ) / 11280

= 240 / 282

= 240

Step2:

LCM(6, 476) = 1428

GCD(6, 476) = ( 6 x 476 ) / 1428

= 6 / 476

= 6

Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

So, Greatest Common Divisor of 240, 282, 476, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 156, 412, 259
• GCD of 723, 988, 522, 737
• GCD of 793, 186, 110, 931
• GCD of 952, 991, 985, 203
• GCD of 898, 954, 995, 557

Given numbers are 240, 282, 476, 202
The greatest common divisor of numbers 240, 282, 476, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 282, 476, 202 is 2.

1. What is the GCD of 240, 282, 476, 202?

GCD of given numbers 240, 282, 476, 202 is 2

2. How to calculate the greatest common divisor of 240, 282, 476, 202?

We can find the highest common divisor of 240, 282, 476, 202 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, 282, 476, 202 i.e 2.

3. How can I use the GCD of 240, 282, 476, 202Calculator?

Out the numbers 240, 282, 476, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.