GCD of 374, 352, 648, 120 Calculator

Given Input numbers are 374, 352, 648, 120

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (374, 352, 648, 120) = 2.

Given numbers are 374, 352, 648, 120

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 374, 352, 648, 120 is 2.

Given numbers are 374, 352, 648, 120

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

Apply this formula for all numbers.

Step1:

LCM(374, 352) = 5984

GCD(374, 352) = ( 374 x 352 ) / 5984

= 374 / 352

= 374

Step2:

LCM(22, 648) = 7128

GCD(22, 648) = ( 22 x 648 ) / 7128

= 22 / 648

= 22

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 374, 352, 648, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 353, 910, 328
• GCD of 284, 660, 979, 858
• GCD of 296, 375, 412, 623
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• GCD of 193, 458, 401, 627

Given numbers are 374, 352, 648, 120
The greatest common divisor of numbers 374, 352, 648, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 352, 648, 120 is 2.

1. What is the GCD of 374, 352, 648, 120?

GCD of given numbers 374, 352, 648, 120 is 2

2. How to calculate the greatest common divisor of 374, 352, 648, 120?

We can find the highest common divisor of 374, 352, 648, 120 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 374, 352, 648, 120 i.e 2.

3. How can I use the GCD of 374, 352, 648, 120Calculator?

Out the numbers 374, 352, 648, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.