GCD of 628, 614, 349, 343 Calculator

Given Input numbers are 628, 614, 349, 343

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

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 (628, 614, 349, 343) = 1.

Given numbers are 628, 614, 349, 343

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 614 are 2 x 307

Prime factors of 349 are 349

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 628, 614, 349, 343

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

Apply this formula for all numbers.

Step1:

LCM(628, 614) = 192796

GCD(628, 614) = ( 628 x 614 ) / 192796

= 628 / 614

= 628

Step2:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

Step3:

LCM(1, 343) = 343

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

= 1 / 343

= 1

So, Greatest Common Divisor of 628, 614, 349, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 640, 997, 315
• GCD of 268, 357, 300, 249
• GCD of 139, 263, 489, 747
• GCD of 335, 956, 297, 142
• GCD of 264, 599, 591, 239

Given numbers are 628, 614, 349, 343
The greatest common divisor of numbers 628, 614, 349, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 614, 349, 343 is 1.

1. What is the GCD of 628, 614, 349, 343?

GCD of given numbers 628, 614, 349, 343 is 1

2. How to calculate the greatest common divisor of 628, 614, 349, 343?

We can find the highest common divisor of 628, 614, 349, 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 628, 614, 349, 343 i.e 1.

3. How can I use the GCD of 628, 614, 349, 343Calculator?

Out the numbers 628, 614, 349, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.