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GCD of 998, 160, 354, 551 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, 160, 354, 551 quickly. Get the easiest ways to solve the greatest common divisor of 998, 160, 354, 551 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 160, 354, 551 with Factoring?

Given Input numbers are 998, 160, 354, 551

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 551 :

The positive integer divisors of 551 that completely divides 551 are.

1, 19, 29, 551


GCD of numbers is the greatest common divisor

So, the GCD (998, 160, 354, 551) = 1.

Find GCD of 998, 160, 354, 551 using Prime Factorization

Given numbers are 998, 160, 354, 551

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 354 are 2 x 3 x 59

Prime factors of 551 are 19 x 29

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

Steps to Calculate GCD of 998, 160, 354, 551 using LCM Formula

Given numbers are 998, 160, 354, 551

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

Apply this formula for all numbers.

Step1:

LCM(998, 160) = 79840

GCD(998, 160) = ( 998 x 160 ) / 79840

= 998 / 160

= 998


Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2


Step3:

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

= 2 / 551

= 2


So, Greatest Common Divisor of 998, 160, 354, 551 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 160, 354, 551

Given numbers are 998, 160, 354, 551
The greatest common divisor of numbers 998, 160, 354, 551 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 160, 354, 551 is 1.

FAQs on GCD of 998, 160, 354, 551 Calculator

1. What is the GCD of 998, 160, 354, 551?

GCD of given numbers 998, 160, 354, 551 is 1


2. How to calculate the greatest common divisor of 998, 160, 354, 551?

We can find the highest common divisor of 998, 160, 354, 551 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, 160, 354, 551 i.e 1.


3. How can I use the GCD of 998, 160, 354, 551Calculator?

Out the numbers 998, 160, 354, 551 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.