GCD of 874, 378, 674, 457 Calculator

Given Input numbers are 874, 378, 674, 457

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

Divisors of 874 :

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

GCD of numbers is the greatest common divisor

So, the GCD (874, 378, 674, 457) = 1.

Given numbers are 874, 378, 674, 457

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 674 are 2 x 337

Prime factors of 457 are 457

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

Given numbers are 874, 378, 674, 457

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

Apply this formula for all numbers.

Step1:

LCM(874, 378) = 165186

GCD(874, 378) = ( 874 x 378 ) / 165186

= 874 / 378

= 874

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 457) = 914

GCD(2, 457) = ( 2 x 457 ) / 914

= 2 / 457

= 2

So, Greatest Common Divisor of 874, 378, 674, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 361, 445, 470
• GCD of 481, 155, 491, 454
• GCD of 721, 983, 740, 439
• GCD of 278, 887, 545, 374
• GCD of 903, 167, 793, 828

Given numbers are 874, 378, 674, 457
The greatest common divisor of numbers 874, 378, 674, 457 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 378, 674, 457 is 1.

1. What is the GCD of 874, 378, 674, 457?

GCD of given numbers 874, 378, 674, 457 is 1

2. How to calculate the greatest common divisor of 874, 378, 674, 457?

We can find the highest common divisor of 874, 378, 674, 457 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 874, 378, 674, 457 i.e 1.

3. How can I use the GCD of 874, 378, 674, 457Calculator?

Out the numbers 874, 378, 674, 457 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.