GCD of 686, 667, 748, 338 Calculator

Given Input numbers are 686, 667, 748, 338

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (686, 667, 748, 338) = 1.

Given numbers are 686, 667, 748, 338

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 667 are 23 x 29

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 686, 667, 748, 338

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

Apply this formula for all numbers.

Step1:

LCM(686, 667) = 457562

GCD(686, 667) = ( 686 x 667 ) / 457562

= 686 / 667

= 686

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 686, 667, 748, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 267, 253, 379
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• GCD of 612, 157, 706, 503
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• GCD of 109, 671, 602, 964

Given numbers are 686, 667, 748, 338
The greatest common divisor of numbers 686, 667, 748, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 667, 748, 338 is 1.

1. What is the GCD of 686, 667, 748, 338?

GCD of given numbers 686, 667, 748, 338 is 1

2. How to calculate the greatest common divisor of 686, 667, 748, 338?

We can find the highest common divisor of 686, 667, 748, 338 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 686, 667, 748, 338 i.e 1.

3. How can I use the GCD of 686, 667, 748, 338Calculator?

Out the numbers 686, 667, 748, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.