GCD of 998, 264, 953, 874 Calculator

Given Input numbers are 998, 264, 953, 874

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 874 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (998, 264, 953, 874) = 1.

Given numbers are 998, 264, 953, 874

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 953 are 953

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 998, 264, 953, 874

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

Apply this formula for all numbers.

Step1:

LCM(998, 264) = 131736

GCD(998, 264) = ( 998 x 264 ) / 131736

= 998 / 264

= 998

Step2:

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

= 2 / 953

= 2

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 998, 264, 953, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 694, 171, 994
• GCD of 936, 408, 284, 410
• GCD of 956, 779, 447, 157
• GCD of 893, 207, 536, 966
• GCD of 729, 561, 733, 462

Given numbers are 998, 264, 953, 874
The greatest common divisor of numbers 998, 264, 953, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 264, 953, 874 is 1.

1. What is the GCD of 998, 264, 953, 874?

GCD of given numbers 998, 264, 953, 874 is 1

2. How to calculate the greatest common divisor of 998, 264, 953, 874?

We can find the highest common divisor of 998, 264, 953, 874 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 998, 264, 953, 874 i.e 1.

3. How can I use the GCD of 998, 264, 953, 874Calculator?

Out the numbers 998, 264, 953, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.