GCD of 352, 402, 488, 338 Calculator

Given Input numbers are 352, 402, 488, 338

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (352, 402, 488, 338) = 2.

Given numbers are 352, 402, 488, 338

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 402 are 2 x 3 x 67

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 352, 402, 488, 338 is 2.

Given numbers are 352, 402, 488, 338

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

Apply this formula for all numbers.

Step1:

LCM(352, 402) = 70752

GCD(352, 402) = ( 352 x 402 ) / 70752

= 352 / 402

= 352

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 352, 402, 488, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 770, 896, 433
• GCD of 971, 471, 848, 931
• GCD of 627, 560, 134, 664
• GCD of 448, 614, 149, 782
• GCD of 618, 134, 716, 154

Given numbers are 352, 402, 488, 338
The greatest common divisor of numbers 352, 402, 488, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 402, 488, 338 is 2.

1. What is the GCD of 352, 402, 488, 338?

GCD of given numbers 352, 402, 488, 338 is 2

2. How to calculate the greatest common divisor of 352, 402, 488, 338?

We can find the highest common divisor of 352, 402, 488, 338 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, 402, 488, 338 i.e 2.

3. How can I use the GCD of 352, 402, 488, 338Calculator?

Out the numbers 352, 402, 488, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.