GCD of 112, 822, 343, 480 Calculator

Given Input numbers are 112, 822, 343, 480

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

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (112, 822, 343, 480) = 1.

Given numbers are 112, 822, 343, 480

The list of prime factors of all numbers are

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 343 are 7 x 7 x 7

Prime factors of 480 are 2 x 2 x 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 112, 822, 343, 480

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

Apply this formula for all numbers.

Step1:

LCM(112, 822) = 46032

GCD(112, 822) = ( 112 x 822 ) / 46032

= 112 / 822

= 112

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 112, 822, 343, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 601, 379, 784
• GCD of 191, 417, 669, 482
• GCD of 470, 489, 378, 927
• GCD of 767, 486, 550, 544
• GCD of 264, 565, 940, 603

Given numbers are 112, 822, 343, 480
The greatest common divisor of numbers 112, 822, 343, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 822, 343, 480 is 1.

1. What is the GCD of 112, 822, 343, 480?

GCD of given numbers 112, 822, 343, 480 is 1

2. How to calculate the greatest common divisor of 112, 822, 343, 480?

We can find the highest common divisor of 112, 822, 343, 480 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 112, 822, 343, 480 i.e 1.

3. How can I use the GCD of 112, 822, 343, 480Calculator?

Out the numbers 112, 822, 343, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.