GCD of 428, 412, 140, 288 Calculator

Given Input numbers are 428, 412, 140, 288

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (428, 412, 140, 288) = 4.

Given numbers are 428, 412, 140, 288

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 412 are 2 x 2 x 103

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 428, 412, 140, 288 is 4.

Given numbers are 428, 412, 140, 288

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

Apply this formula for all numbers.

Step1:

LCM(428, 412) = 44084

GCD(428, 412) = ( 428 x 412 ) / 44084

= 428 / 412

= 428

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 428, 412, 140, 288 is 4

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• GCD of 402, 828, 880, 154
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Given numbers are 428, 412, 140, 288
The greatest common divisor of numbers 428, 412, 140, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 412, 140, 288 is 4.

1. What is the GCD of 428, 412, 140, 288?

GCD of given numbers 428, 412, 140, 288 is 4

2. How to calculate the greatest common divisor of 428, 412, 140, 288?

We can find the highest common divisor of 428, 412, 140, 288 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 428, 412, 140, 288 i.e 4.

3. How can I use the GCD of 428, 412, 140, 288Calculator?

Out the numbers 428, 412, 140, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.