GCD of 782, 355, 949, 674 Calculator

Given Input numbers are 782, 355, 949, 674

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (782, 355, 949, 674) = 1.

Given numbers are 782, 355, 949, 674

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 355 are 5 x 71

Prime factors of 949 are 13 x 73

Prime factors of 674 are 2 x 337

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

Given numbers are 782, 355, 949, 674

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

Apply this formula for all numbers.

Step1:

LCM(782, 355) = 277610

GCD(782, 355) = ( 782 x 355 ) / 277610

= 782 / 355

= 782

Step2:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 782, 355, 949, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 697, 288, 332
• GCD of 923, 413, 384, 686
• GCD of 577, 904, 855, 856
• GCD of 310, 404, 823, 569
• GCD of 913, 325, 107, 428

Given numbers are 782, 355, 949, 674
The greatest common divisor of numbers 782, 355, 949, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 355, 949, 674 is 1.

1. What is the GCD of 782, 355, 949, 674?

GCD of given numbers 782, 355, 949, 674 is 1

2. How to calculate the greatest common divisor of 782, 355, 949, 674?

We can find the highest common divisor of 782, 355, 949, 674 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 782, 355, 949, 674 i.e 1.

3. How can I use the GCD of 782, 355, 949, 674Calculator?

Out the numbers 782, 355, 949, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.