GCD of 928, 690, 714, 343 Calculator

Given Input numbers are 928, 690, 714, 343

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 (928, 690, 714, 343) = 1.

Given numbers are 928, 690, 714, 343

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 714 are 2 x 3 x 7 x 17

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 928, 690, 714, 343

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

Apply this formula for all numbers.

Step1:

LCM(928, 690) = 320160

GCD(928, 690) = ( 928 x 690 ) / 320160

= 928 / 690

= 928

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 928, 690, 714, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 926, 935, 185
• GCD of 822, 701, 740, 325
• GCD of 186, 133, 357, 398
• GCD of 856, 337, 480, 890
• GCD of 141, 438, 304, 379

Given numbers are 928, 690, 714, 343
The greatest common divisor of numbers 928, 690, 714, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 690, 714, 343 is 1.

1. What is the GCD of 928, 690, 714, 343?

GCD of given numbers 928, 690, 714, 343 is 1

2. How to calculate the greatest common divisor of 928, 690, 714, 343?

We can find the highest common divisor of 928, 690, 714, 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 928, 690, 714, 343 i.e 1.

3. How can I use the GCD of 928, 690, 714, 343Calculator?

Out the numbers 928, 690, 714, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.