GCD of 357, 819, 196, 112 Calculator

Given Input numbers are 357, 819, 196, 112

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 (357, 819, 196, 112) = 7.

Given numbers are 357, 819, 196, 112

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 357, 819, 196, 112 is 7.

Given numbers are 357, 819, 196, 112

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

Apply this formula for all numbers.

Step1:

LCM(357, 819) = 13923

GCD(357, 819) = ( 357 x 819 ) / 13923

= 357 / 819

= 357

Step2:

LCM(21, 196) = 588

GCD(21, 196) = ( 21 x 196 ) / 588

= 21 / 196

= 21

Step3:

LCM(7, 112) = 112

GCD(7, 112) = ( 7 x 112 ) / 112

= 7 / 112

= 7

So, Greatest Common Divisor of 357, 819, 196, 112 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 297, 385, 327
• GCD of 826, 914, 714, 916
• GCD of 934, 407, 436, 238
• GCD of 427, 723, 624, 444
• GCD of 558, 753, 845, 557

Given numbers are 357, 819, 196, 112
The greatest common divisor of numbers 357, 819, 196, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 819, 196, 112 is 7.

1. What is the GCD of 357, 819, 196, 112?

GCD of given numbers 357, 819, 196, 112 is 7

2. How to calculate the greatest common divisor of 357, 819, 196, 112?

We can find the highest common divisor of 357, 819, 196, 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 357, 819, 196, 112 i.e 7.

3. How can I use the GCD of 357, 819, 196, 112Calculator?

Out the numbers 357, 819, 196, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.