GCD of 743, 268, 825, 346 Calculator

Given Input numbers are 743, 268, 825, 346

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (743, 268, 825, 346) = 1.

Given numbers are 743, 268, 825, 346

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 268 are 2 x 2 x 67

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 346 are 2 x 173

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

Given numbers are 743, 268, 825, 346

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

Apply this formula for all numbers.

Step1:

LCM(743, 268) = 199124

GCD(743, 268) = ( 743 x 268 ) / 199124

= 743 / 268

= 743

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

= 1 / 346

= 1

So, Greatest Common Divisor of 743, 268, 825, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 307, 101, 439
• GCD of 323, 907, 848, 912
• GCD of 266, 808, 993, 692
• GCD of 219, 932, 492, 528
• GCD of 133, 946, 273, 349

Given numbers are 743, 268, 825, 346
The greatest common divisor of numbers 743, 268, 825, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 268, 825, 346 is 1.

1. What is the GCD of 743, 268, 825, 346?

GCD of given numbers 743, 268, 825, 346 is 1

2. How to calculate the greatest common divisor of 743, 268, 825, 346?

We can find the highest common divisor of 743, 268, 825, 346 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 743, 268, 825, 346 i.e 1.

3. How can I use the GCD of 743, 268, 825, 346Calculator?

Out the numbers 743, 268, 825, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.