GCD of 120, 340, 824, 430 Calculator

Given Input numbers are 120, 340, 824, 430

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

GCD of numbers is the greatest common divisor

So, the GCD (120, 340, 824, 430) = 2.

Given numbers are 120, 340, 824, 430

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 340 are 2 x 2 x 5 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 2¹

Therefore, GCD of 120, 340, 824, 430 is 2.

Given numbers are 120, 340, 824, 430

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

Apply this formula for all numbers.

Step1:

LCM(120, 340) = 2040

GCD(120, 340) = ( 120 x 340 ) / 2040

= 120 / 340

= 120

Step2:

LCM(20, 824) = 4120

GCD(20, 824) = ( 20 x 824 ) / 4120

= 20 / 824

= 20

Step3:

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

= 4 / 430

= 4

So, Greatest Common Divisor of 120, 340, 824, 430 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 959, 361, 937
• GCD of 251, 180, 890, 943
• GCD of 320, 770, 937, 466
• GCD of 600, 836, 778, 537
• GCD of 718, 129, 143, 633

Given numbers are 120, 340, 824, 430
The greatest common divisor of numbers 120, 340, 824, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 340, 824, 430 is 2.

1. What is the GCD of 120, 340, 824, 430?

GCD of given numbers 120, 340, 824, 430 is 2

2. How to calculate the greatest common divisor of 120, 340, 824, 430?

We can find the highest common divisor of 120, 340, 824, 430 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, 340, 824, 430 i.e 2.

3. How can I use the GCD of 120, 340, 824, 430Calculator?

Out the numbers 120, 340, 824, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.