GCD of 952, 318, 414, 998 Calculator

Given Input numbers are 952, 318, 414, 998

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

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (952, 318, 414, 998) = 2.

Given numbers are 952, 318, 414, 998

The list of prime factors of all numbers are

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 318 are 2 x 3 x 53

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 952, 318, 414, 998 is 2.

Given numbers are 952, 318, 414, 998

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

Apply this formula for all numbers.

Step1:

LCM(952, 318) = 151368

GCD(952, 318) = ( 952 x 318 ) / 151368

= 952 / 318

= 952

Step2:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 952, 318, 414, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 543, 275, 303
• GCD of 345, 959, 193, 737
• GCD of 702, 854, 831, 994
• GCD of 466, 296, 443, 994
• GCD of 273, 407, 682, 709

Given numbers are 952, 318, 414, 998
The greatest common divisor of numbers 952, 318, 414, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 318, 414, 998 is 2.

1. What is the GCD of 952, 318, 414, 998?

GCD of given numbers 952, 318, 414, 998 is 2

2. How to calculate the greatest common divisor of 952, 318, 414, 998?

We can find the highest common divisor of 952, 318, 414, 998 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 952, 318, 414, 998 i.e 2.

3. How can I use the GCD of 952, 318, 414, 998Calculator?

Out the numbers 952, 318, 414, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.