GCD of 898, 864, 148, 977 Calculator

Given Input numbers are 898, 864, 148, 977

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

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (898, 864, 148, 977) = 1.

Given numbers are 898, 864, 148, 977

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 148 are 2 x 2 x 37

Prime factors of 977 are 977

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

Given numbers are 898, 864, 148, 977

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

Apply this formula for all numbers.

Step1:

LCM(898, 864) = 387936

GCD(898, 864) = ( 898 x 864 ) / 387936

= 898 / 864

= 898

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 898, 864, 148, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 153, 369, 409
• GCD of 588, 955, 445, 331
• GCD of 798, 178, 307, 427
• GCD of 784, 905, 584, 669
• GCD of 215, 176, 323, 444

Given numbers are 898, 864, 148, 977
The greatest common divisor of numbers 898, 864, 148, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 864, 148, 977 is 1.

1. What is the GCD of 898, 864, 148, 977?

GCD of given numbers 898, 864, 148, 977 is 1

2. How to calculate the greatest common divisor of 898, 864, 148, 977?

We can find the highest common divisor of 898, 864, 148, 977 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 898, 864, 148, 977 i.e 1.

3. How can I use the GCD of 898, 864, 148, 977Calculator?

Out the numbers 898, 864, 148, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.