GCD of 364, 975, 98, 864 Calculator

Given Input numbers are 364, 975, 98, 864

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

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

GCD of numbers is the greatest common divisor

So, the GCD (364, 975, 98, 864) = 1.

Given numbers are 364, 975, 98, 864

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 98 are 2 x 7 x 7

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

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

Given numbers are 364, 975, 98, 864

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

Apply this formula for all numbers.

Step1:

LCM(364, 975) = 27300

GCD(364, 975) = ( 364 x 975 ) / 27300

= 364 / 975

= 364

Step2:

LCM(13, 98) = 1274

GCD(13, 98) = ( 13 x 98 ) / 1274

= 13 / 98

= 13

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 364, 975, 98, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 279, 75, 219
• GCD of 268, 158, 55, 817
• GCD of 148, 825, 30, 424
• GCD of 402, 749, 82, 793
• GCD of 165, 947, 14, 283

Given numbers are 364, 975, 98, 864
The greatest common divisor of numbers 364, 975, 98, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 975, 98, 864 is 1.

1. What is the GCD of 364, 975, 98, 864?

GCD of given numbers 364, 975, 98, 864 is 1

2. How to calculate the greatest common divisor of 364, 975, 98, 864?

We can find the highest common divisor of 364, 975, 98, 864 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 364, 975, 98, 864 i.e 1.

3. How can I use the GCD of 364, 975, 98, 864Calculator?

Out the numbers 364, 975, 98, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.