GCD of 429, 738, 735, 343 Calculator

Given Input numbers are 429, 738, 735, 343

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 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 (429, 738, 735, 343) = 1.

Given numbers are 429, 738, 735, 343

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 735 are 3 x 5 x 7 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 429, 738, 735, 343

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

Apply this formula for all numbers.

Step1:

LCM(429, 738) = 105534

GCD(429, 738) = ( 429 x 738 ) / 105534

= 429 / 738

= 429

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 429, 738, 735, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 551, 296, 430
• GCD of 736, 955, 876, 502
• GCD of 165, 672, 122, 463
• GCD of 847, 582, 328, 272
• GCD of 243, 559, 560, 456

Given numbers are 429, 738, 735, 343
The greatest common divisor of numbers 429, 738, 735, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 738, 735, 343 is 1.

1. What is the GCD of 429, 738, 735, 343?

GCD of given numbers 429, 738, 735, 343 is 1

2. How to calculate the greatest common divisor of 429, 738, 735, 343?

We can find the highest common divisor of 429, 738, 735, 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 429, 738, 735, 343 i.e 1.

3. How can I use the GCD of 429, 738, 735, 343Calculator?

Out the numbers 429, 738, 735, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.