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GCD of 998, 924, 952, 134 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 998, 924, 952, 134 quickly. Get the easiest ways to solve the greatest common divisor of 998, 924, 952, 134 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 924, 952, 134 with Factoring?

Given Input numbers are 998, 924, 952, 134

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134


GCD of numbers is the greatest common divisor

So, the GCD (998, 924, 952, 134) = 2.

Find GCD of 998, 924, 952, 134 using Prime Factorization

Given numbers are 998, 924, 952, 134

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Prime factors of 134 are 2 x 67

The highest common occurrence is 21

Therefore, GCD of 998, 924, 952, 134 is 2.

Steps to Calculate GCD of 998, 924, 952, 134 using LCM Formula

Given numbers are 998, 924, 952, 134

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

Apply this formula for all numbers.

Step1:

LCM(998, 924) = 461076

GCD(998, 924) = ( 998 x 924 ) / 461076

= 998 / 924

= 998


Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2


Step3:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2


So, Greatest Common Divisor of 998, 924, 952, 134 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 924, 952, 134

Given numbers are 998, 924, 952, 134
The greatest common divisor of numbers 998, 924, 952, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 924, 952, 134 is 2.

FAQs on GCD of 998, 924, 952, 134 Calculator

1. What is the GCD of 998, 924, 952, 134?

GCD of given numbers 998, 924, 952, 134 is 2


2. How to calculate the greatest common divisor of 998, 924, 952, 134?

We can find the highest common divisor of 998, 924, 952, 134 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, 924, 952, 134 i.e 2.


3. How can I use the GCD of 998, 924, 952, 134Calculator?

Out the numbers 998, 924, 952, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.