GCD of 386, 704, 974, 874 Calculator

Given Input numbers are 386, 704, 974, 874

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (386, 704, 974, 874) = 2.

Given numbers are 386, 704, 974, 874

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 974 are 2 x 487

Prime factors of 874 are 2 x 19 x 23

The highest common occurrence is 2¹

Therefore, GCD of 386, 704, 974, 874 is 2.

Given numbers are 386, 704, 974, 874

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

Apply this formula for all numbers.

Step1:

LCM(386, 704) = 135872

GCD(386, 704) = ( 386 x 704 ) / 135872

= 386 / 704

= 386

Step2:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

Step3:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

So, Greatest Common Divisor of 386, 704, 974, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 138, 529, 653
• GCD of 579, 635, 188, 248
• GCD of 530, 770, 464, 773
• GCD of 380, 188, 119, 576
• GCD of 514, 124, 202, 882

Given numbers are 386, 704, 974, 874
The greatest common divisor of numbers 386, 704, 974, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 704, 974, 874 is 2.

1. What is the GCD of 386, 704, 974, 874?

GCD of given numbers 386, 704, 974, 874 is 2

2. How to calculate the greatest common divisor of 386, 704, 974, 874?

We can find the highest common divisor of 386, 704, 974, 874 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 386, 704, 974, 874 i.e 2.

3. How can I use the GCD of 386, 704, 974, 874Calculator?

Out the numbers 386, 704, 974, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.