GCD of 304, 138, 898, 971 Calculator

Given Input numbers are 304, 138, 898, 971

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 138 :

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

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (304, 138, 898, 971) = 1.

Given numbers are 304, 138, 898, 971

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 898 are 2 x 449

Prime factors of 971 are 971

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

Given numbers are 304, 138, 898, 971

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

Apply this formula for all numbers.

Step1:

LCM(304, 138) = 20976

GCD(304, 138) = ( 304 x 138 ) / 20976

= 304 / 138

= 304

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 304, 138, 898, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 643, 883, 444
• GCD of 462, 931, 934, 851
• GCD of 672, 919, 782, 280
• GCD of 679, 128, 531, 772
• GCD of 236, 288, 376, 613

Given numbers are 304, 138, 898, 971
The greatest common divisor of numbers 304, 138, 898, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 138, 898, 971 is 1.

1. What is the GCD of 304, 138, 898, 971?

GCD of given numbers 304, 138, 898, 971 is 1

2. How to calculate the greatest common divisor of 304, 138, 898, 971?

We can find the highest common divisor of 304, 138, 898, 971 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 304, 138, 898, 971 i.e 1.

3. How can I use the GCD of 304, 138, 898, 971Calculator?

Out the numbers 304, 138, 898, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.