GCD of 352, 922, 42 Calculator

Given Input numbers are 352, 922, 42

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

GCD of numbers is the greatest common divisor

So, the GCD (352, 922, 42) = 2.

Given numbers are 352, 922, 42

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 922 are 2 x 461

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 352, 922, 42 is 2.

Given numbers are 352, 922, 42

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

Apply this formula for all numbers.

Step1:

LCM(352, 922) = 162272

GCD(352, 922) = ( 352 x 922 ) / 162272

= 352 / 922

= 352

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

So, Greatest Common Divisor of 352, 922, 42 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 450, 58
• GCD of 312, 810, 73
• GCD of 782, 942, 69
• GCD of 397, 324, 85
• GCD of 564, 461, 91

Given numbers are 352, 922, 42
The greatest common divisor of numbers 352, 922, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 922, 42 is 2.

1. What is the GCD of 352, 922, 42?

GCD of given numbers 352, 922, 42 is 2

2. How to calculate the greatest common divisor of 352, 922, 42?

We can find the highest common divisor of 352, 922, 42 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 352, 922, 42 i.e 2.

3. How can I use the GCD of 352, 922, 42Calculator?

Out the numbers 352, 922, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.