GCD of 354, 749, 418, 682 Calculator

Given Input numbers are 354, 749, 418, 682

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (354, 749, 418, 682) = 1.

Given numbers are 354, 749, 418, 682

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 749 are 7 x 107

Prime factors of 418 are 2 x 11 x 19

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 354, 749, 418, 682

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

Apply this formula for all numbers.

Step1:

LCM(354, 749) = 265146

GCD(354, 749) = ( 354 x 749 ) / 265146

= 354 / 749

= 354

Step2:

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

= 1 / 418

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 354, 749, 418, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 674, 778, 838
• GCD of 164, 930, 776, 449
• GCD of 603, 389, 494, 843
• GCD of 445, 596, 545, 236
• GCD of 555, 876, 943, 706

Given numbers are 354, 749, 418, 682
The greatest common divisor of numbers 354, 749, 418, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 749, 418, 682 is 1.

1. What is the GCD of 354, 749, 418, 682?

GCD of given numbers 354, 749, 418, 682 is 1

2. How to calculate the greatest common divisor of 354, 749, 418, 682?

We can find the highest common divisor of 354, 749, 418, 682 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 354, 749, 418, 682 i.e 1.

3. How can I use the GCD of 354, 749, 418, 682Calculator?

Out the numbers 354, 749, 418, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.