GCD of 354, 824, 48, 112 Calculator

Given Input numbers are 354, 824, 48, 112

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (354, 824, 48, 112) = 2.

Given numbers are 354, 824, 48, 112

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 354, 824, 48, 112 is 2.

Given numbers are 354, 824, 48, 112

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

Apply this formula for all numbers.

Step1:

LCM(354, 824) = 145848

GCD(354, 824) = ( 354 x 824 ) / 145848

= 354 / 824

= 354

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 354, 824, 48, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 536, 34, 439
• GCD of 935, 478, 46, 634
• GCD of 396, 289, 37, 176
• GCD of 833, 709, 59, 307
• GCD of 107, 247, 70, 216

Given numbers are 354, 824, 48, 112
The greatest common divisor of numbers 354, 824, 48, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 824, 48, 112 is 2.

1. What is the GCD of 354, 824, 48, 112?

GCD of given numbers 354, 824, 48, 112 is 2

2. How to calculate the greatest common divisor of 354, 824, 48, 112?

We can find the highest common divisor of 354, 824, 48, 112 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 354, 824, 48, 112 i.e 2.

3. How can I use the GCD of 354, 824, 48, 112Calculator?

Out the numbers 354, 824, 48, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.