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GCD of 240, 169, 84, 988 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 169, 84, 988 quickly. Get the easiest ways to solve the greatest common divisor of 240, 169, 84, 988 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 169, 84, 988 with Factoring?

Given Input numbers are 240, 169, 84, 988

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988


GCD of numbers is the greatest common divisor

So, the GCD (240, 169, 84, 988) = 1.

Find GCD of 240, 169, 84, 988 using Prime Factorization

Given numbers are 240, 169, 84, 988

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 169 are 13 x 13

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 988 are 2 x 2 x 13 x 19

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

Steps to Calculate GCD of 240, 169, 84, 988 using LCM Formula

Given numbers are 240, 169, 84, 988

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

Apply this formula for all numbers.

Step1:

LCM(240, 169) = 40560

GCD(240, 169) = ( 240 x 169 ) / 40560

= 240 / 169

= 240


Step2:

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

= 1 / 84

= 1


Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1


So, Greatest Common Divisor of 240, 169, 84, 988 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 169, 84, 988

Given numbers are 240, 169, 84, 988
The greatest common divisor of numbers 240, 169, 84, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 169, 84, 988 is 1.

FAQs on GCD of 240, 169, 84, 988 Calculator

1. What is the GCD of 240, 169, 84, 988?

GCD of given numbers 240, 169, 84, 988 is 1


2. How to calculate the greatest common divisor of 240, 169, 84, 988?

We can find the highest common divisor of 240, 169, 84, 988 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 240, 169, 84, 988 i.e 1.


3. How can I use the GCD of 240, 169, 84, 988Calculator?

Out the numbers 240, 169, 84, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.