GCD of 343, 742, 382, 732 Calculator

Given Input numbers are 343, 742, 382, 732

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (343, 742, 382, 732) = 1.

Given numbers are 343, 742, 382, 732

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 382 are 2 x 191

Prime factors of 732 are 2 x 2 x 3 x 61

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

Given numbers are 343, 742, 382, 732

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

Apply this formula for all numbers.

Step1:

LCM(343, 742) = 36358

GCD(343, 742) = ( 343 x 742 ) / 36358

= 343 / 742

= 343

Step2:

LCM(7, 382) = 2674

GCD(7, 382) = ( 7 x 382 ) / 2674

= 7 / 382

= 7

Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

So, Greatest Common Divisor of 343, 742, 382, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 234, 726, 631
• GCD of 453, 649, 579, 916
• GCD of 351, 564, 532, 612
• GCD of 972, 291, 585, 548
• GCD of 399, 634, 851, 670

Given numbers are 343, 742, 382, 732
The greatest common divisor of numbers 343, 742, 382, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 742, 382, 732 is 1.

1. What is the GCD of 343, 742, 382, 732?

GCD of given numbers 343, 742, 382, 732 is 1

2. How to calculate the greatest common divisor of 343, 742, 382, 732?

We can find the highest common divisor of 343, 742, 382, 732 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 343, 742, 382, 732 i.e 1.

3. How can I use the GCD of 343, 742, 382, 732Calculator?

Out the numbers 343, 742, 382, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.