GCD of 350, 832, 58, 120 Calculator

Given Input numbers are 350, 832, 58, 120

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

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 (350, 832, 58, 120) = 2.

Given numbers are 350, 832, 58, 120

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 58 are 2 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 350, 832, 58, 120 is 2.

Given numbers are 350, 832, 58, 120

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

Apply this formula for all numbers.

Step1:

LCM(350, 832) = 145600

GCD(350, 832) = ( 350 x 832 ) / 145600

= 350 / 832

= 350

Step2:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 350, 832, 58, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 448, 29, 746
• GCD of 317, 856, 75, 592
• GCD of 447, 156, 45, 130
• GCD of 887, 231, 70, 454
• GCD of 956, 994, 41, 147

Given numbers are 350, 832, 58, 120
The greatest common divisor of numbers 350, 832, 58, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 832, 58, 120 is 2.

1. What is the GCD of 350, 832, 58, 120?

GCD of given numbers 350, 832, 58, 120 is 2

2. How to calculate the greatest common divisor of 350, 832, 58, 120?

We can find the highest common divisor of 350, 832, 58, 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 350, 832, 58, 120 i.e 2.

3. How can I use the GCD of 350, 832, 58, 120Calculator?

Out the numbers 350, 832, 58, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.