GCD of 143, 112, 823, 120 Calculator

Given Input numbers are 143, 112, 823, 120

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (143, 112, 823, 120) = 1.

Given numbers are 143, 112, 823, 120

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 823 are 823

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 143, 112, 823, 120

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

Apply this formula for all numbers.

Step1:

LCM(143, 112) = 16016

GCD(143, 112) = ( 143 x 112 ) / 16016

= 143 / 112

= 143

Step2:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 143, 112, 823, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 125, 524, 424
• GCD of 545, 781, 425, 557
• GCD of 704, 499, 988, 567
• GCD of 302, 582, 753, 887
• GCD of 249, 929, 435, 442

Given numbers are 143, 112, 823, 120
The greatest common divisor of numbers 143, 112, 823, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 112, 823, 120 is 1.

1. What is the GCD of 143, 112, 823, 120?

GCD of given numbers 143, 112, 823, 120 is 1

2. How to calculate the greatest common divisor of 143, 112, 823, 120?

We can find the highest common divisor of 143, 112, 823, 120 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 143, 112, 823, 120 i.e 1.

3. How can I use the GCD of 143, 112, 823, 120Calculator?

Out the numbers 143, 112, 823, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.