GCD of 428, 735, 839, 343 Calculator

Given Input numbers are 428, 735, 839, 343

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (428, 735, 839, 343) = 1.

Given numbers are 428, 735, 839, 343

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 839 are 839

Prime factors of 343 are 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 428, 735, 839, 343

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

Apply this formula for all numbers.

Step1:

LCM(428, 735) = 314580

GCD(428, 735) = ( 428 x 735 ) / 314580

= 428 / 735

= 428

Step2:

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

= 1 / 839

= 1

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 428, 735, 839, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 704, 229, 779
• GCD of 375, 990, 694, 430
• GCD of 963, 544, 824, 858
• GCD of 144, 388, 708, 754
• GCD of 361, 835, 847, 705

Given numbers are 428, 735, 839, 343
The greatest common divisor of numbers 428, 735, 839, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 735, 839, 343 is 1.

1. What is the GCD of 428, 735, 839, 343?

GCD of given numbers 428, 735, 839, 343 is 1

2. How to calculate the greatest common divisor of 428, 735, 839, 343?

We can find the highest common divisor of 428, 735, 839, 343 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 428, 735, 839, 343 i.e 1.

3. How can I use the GCD of 428, 735, 839, 343Calculator?

Out the numbers 428, 735, 839, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.