GCD of 342, 448, 958, 830 Calculator

Given Input numbers are 342, 448, 958, 830

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (342, 448, 958, 830) = 2.

Given numbers are 342, 448, 958, 830

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 958 are 2 x 479

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 342, 448, 958, 830 is 2.

Given numbers are 342, 448, 958, 830

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

Apply this formula for all numbers.

Step1:

LCM(342, 448) = 76608

GCD(342, 448) = ( 342 x 448 ) / 76608

= 342 / 448

= 342

Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 342, 448, 958, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 376, 999, 516
• GCD of 831, 923, 429, 573
• GCD of 174, 695, 749, 608
• GCD of 838, 911, 597, 799
• GCD of 915, 140, 672, 398

Given numbers are 342, 448, 958, 830
The greatest common divisor of numbers 342, 448, 958, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 448, 958, 830 is 2.

1. What is the GCD of 342, 448, 958, 830?

GCD of given numbers 342, 448, 958, 830 is 2

2. How to calculate the greatest common divisor of 342, 448, 958, 830?

We can find the highest common divisor of 342, 448, 958, 830 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 342, 448, 958, 830 i.e 2.

3. How can I use the GCD of 342, 448, 958, 830Calculator?

Out the numbers 342, 448, 958, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.