GCD of 120, 662, 352, 354 Calculator

Given Input numbers are 120, 662, 352, 354

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

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

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (120, 662, 352, 354) = 2.

Given numbers are 120, 662, 352, 354

The list of prime factors of all numbers are

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

Prime factors of 662 are 2 x 331

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 120, 662, 352, 354 is 2.

Given numbers are 120, 662, 352, 354

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

Apply this formula for all numbers.

Step1:

LCM(120, 662) = 39720

GCD(120, 662) = ( 120 x 662 ) / 39720

= 120 / 662

= 120

Step2:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 120, 662, 352, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 915, 107, 666
• GCD of 635, 237, 425, 914
• GCD of 505, 154, 238, 574
• GCD of 454, 467, 104, 247
• GCD of 666, 730, 885, 743

Given numbers are 120, 662, 352, 354
The greatest common divisor of numbers 120, 662, 352, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 662, 352, 354 is 2.

1. What is the GCD of 120, 662, 352, 354?

GCD of given numbers 120, 662, 352, 354 is 2

2. How to calculate the greatest common divisor of 120, 662, 352, 354?

We can find the highest common divisor of 120, 662, 352, 354 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 120, 662, 352, 354 i.e 2.

3. How can I use the GCD of 120, 662, 352, 354Calculator?

Out the numbers 120, 662, 352, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.