GCD of 874, 322, 85, 138 Calculator

Given Input numbers are 874, 322, 85, 138

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (874, 322, 85, 138) = 1.

Given numbers are 874, 322, 85, 138

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 322 are 2 x 7 x 23

Prime factors of 85 are 5 x 17

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 874, 322, 85, 138

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

Apply this formula for all numbers.

Step1:

LCM(874, 322) = 6118

GCD(874, 322) = ( 874 x 322 ) / 6118

= 874 / 322

= 874

Step2:

LCM(46, 85) = 3910

GCD(46, 85) = ( 46 x 85 ) / 3910

= 46 / 85

= 46

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 874, 322, 85, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 734, 16, 371
• GCD of 896, 751, 92, 205
• GCD of 375, 836, 87, 225
• GCD of 923, 945, 99, 801
• GCD of 368, 656, 30, 784

Given numbers are 874, 322, 85, 138
The greatest common divisor of numbers 874, 322, 85, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 322, 85, 138 is 1.

1. What is the GCD of 874, 322, 85, 138?

GCD of given numbers 874, 322, 85, 138 is 1

2. How to calculate the greatest common divisor of 874, 322, 85, 138?

We can find the highest common divisor of 874, 322, 85, 138 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, 322, 85, 138 i.e 1.

3. How can I use the GCD of 874, 322, 85, 138Calculator?

Out the numbers 874, 322, 85, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.