GCD of 144, 892, 343, 284 Calculator

Given Input numbers are 144, 892, 343, 284

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (144, 892, 343, 284) = 1.

Given numbers are 144, 892, 343, 284

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 892 are 2 x 2 x 223

Prime factors of 343 are 7 x 7 x 7

Prime factors of 284 are 2 x 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 892, 343, 284

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

Apply this formula for all numbers.

Step1:

LCM(144, 892) = 32112

GCD(144, 892) = ( 144 x 892 ) / 32112

= 144 / 892

= 144

Step2:

LCM(4, 343) = 1372

GCD(4, 343) = ( 4 x 343 ) / 1372

= 4 / 343

= 4

Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

So, Greatest Common Divisor of 144, 892, 343, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 564, 698, 330
• GCD of 281, 320, 340, 328
• GCD of 147, 356, 504, 843
• GCD of 352, 716, 310, 992
• GCD of 959, 150, 150, 384

Given numbers are 144, 892, 343, 284
The greatest common divisor of numbers 144, 892, 343, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 892, 343, 284 is 1.

1. What is the GCD of 144, 892, 343, 284?

GCD of given numbers 144, 892, 343, 284 is 1

2. How to calculate the greatest common divisor of 144, 892, 343, 284?

We can find the highest common divisor of 144, 892, 343, 284 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 144, 892, 343, 284 i.e 1.

3. How can I use the GCD of 144, 892, 343, 284Calculator?

Out the numbers 144, 892, 343, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.