GCD of 120, 832, 62, 338 Calculator

Given Input numbers are 120, 832, 62, 338

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 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 62 :

The positive integer divisors of 62 that completely divides 62 are.

1, 2, 31, 62

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 (120, 832, 62, 338) = 2.

Given numbers are 120, 832, 62, 338

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 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 62 are 2 x 31

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 120, 832, 62, 338 is 2.

Given numbers are 120, 832, 62, 338

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

Apply this formula for all numbers.

Step1:

LCM(120, 832) = 12480

GCD(120, 832) = ( 120 x 832 ) / 12480

= 120 / 832

= 120

Step2:

LCM(8, 62) = 248

GCD(8, 62) = ( 8 x 62 ) / 248

= 8 / 62

= 8

Step3:

LCM(2, 338) = 338

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

= 2 / 338

= 2

So, Greatest Common Divisor of 120, 832, 62, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 627, 58, 693
• GCD of 221, 976, 12, 912
• GCD of 244, 172, 17, 918
• GCD of 122, 939, 51, 478
• GCD of 810, 342, 13, 566

Given numbers are 120, 832, 62, 338
The greatest common divisor of numbers 120, 832, 62, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 832, 62, 338 is 2.

1. What is the GCD of 120, 832, 62, 338?

GCD of given numbers 120, 832, 62, 338 is 2

2. How to calculate the greatest common divisor of 120, 832, 62, 338?

We can find the highest common divisor of 120, 832, 62, 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 120, 832, 62, 338 i.e 2.

3. How can I use the GCD of 120, 832, 62, 338Calculator?

Out the numbers 120, 832, 62, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.