GCD of 735, 424, 84, 343 Calculator

Given Input numbers are 735, 424, 84, 343

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

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 (735, 424, 84, 343) = 1.

Given numbers are 735, 424, 84, 343

The list of prime factors of all numbers are

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

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 84 are 2 x 2 x 3 x 7

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 735, 424, 84, 343

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

Apply this formula for all numbers.

Step1:

LCM(735, 424) = 311640

GCD(735, 424) = ( 735 x 424 ) / 311640

= 735 / 424

= 735

Step2:

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

= 1 / 84

= 1

Step3:

LCM(1, 343) = 343

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

= 1 / 343

= 1

So, Greatest Common Divisor of 735, 424, 84, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 274, 16, 355
• GCD of 475, 287, 68, 622
• GCD of 892, 843, 44, 861
• GCD of 965, 822, 31, 831
• GCD of 772, 808, 17, 629

Given numbers are 735, 424, 84, 343
The greatest common divisor of numbers 735, 424, 84, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 424, 84, 343 is 1.

1. What is the GCD of 735, 424, 84, 343?

GCD of given numbers 735, 424, 84, 343 is 1

2. How to calculate the greatest common divisor of 735, 424, 84, 343?

We can find the highest common divisor of 735, 424, 84, 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 735, 424, 84, 343 i.e 1.

3. How can I use the GCD of 735, 424, 84, 343Calculator?

Out the numbers 735, 424, 84, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.