GCD of 352, 448, 220, 370 Calculator

Given Input numbers are 352, 448, 220, 370

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (352, 448, 220, 370) = 2.

Given numbers are 352, 448, 220, 370

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 352, 448, 220, 370 is 2.

Given numbers are 352, 448, 220, 370

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

Apply this formula for all numbers.

Step1:

LCM(352, 448) = 4928

GCD(352, 448) = ( 352 x 448 ) / 4928

= 352 / 448

= 352

Step2:

LCM(32, 220) = 1760

GCD(32, 220) = ( 32 x 220 ) / 1760

= 32 / 220

= 32

Step3:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4

So, Greatest Common Divisor of 352, 448, 220, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 286, 296, 474
• GCD of 128, 672, 731, 277
• GCD of 473, 871, 666, 711
• GCD of 175, 288, 898, 637
• GCD of 299, 753, 564, 728

Given numbers are 352, 448, 220, 370
The greatest common divisor of numbers 352, 448, 220, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 448, 220, 370 is 2.

1. What is the GCD of 352, 448, 220, 370?

GCD of given numbers 352, 448, 220, 370 is 2

2. How to calculate the greatest common divisor of 352, 448, 220, 370?

We can find the highest common divisor of 352, 448, 220, 370 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, 448, 220, 370 i.e 2.

3. How can I use the GCD of 352, 448, 220, 370Calculator?

Out the numbers 352, 448, 220, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.