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GCD of 160, 700, 299, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 160, 700, 299, 775 quickly. Get the easiest ways to solve the greatest common divisor of 160, 700, 299, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 160, 700, 299, 775 with Factoring?

Given Input numbers are 160, 700, 299, 775

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

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (160, 700, 299, 775) = 1.

Find GCD of 160, 700, 299, 775 using Prime Factorization

Given numbers are 160, 700, 299, 775

The list of prime factors of all numbers are

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

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 299 are 13 x 23

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 160, 700, 299, 775 using LCM Formula

Given numbers are 160, 700, 299, 775

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

Apply this formula for all numbers.

Step1:

LCM(160, 700) = 5600

GCD(160, 700) = ( 160 x 700 ) / 5600

= 160 / 700

= 160


Step2:

LCM(20, 299) = 5980

GCD(20, 299) = ( 20 x 299 ) / 5980

= 20 / 299

= 20


Step3:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1


So, Greatest Common Divisor of 160, 700, 299, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 160, 700, 299, 775

Given numbers are 160, 700, 299, 775
The greatest common divisor of numbers 160, 700, 299, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 700, 299, 775 is 1.

FAQs on GCD of 160, 700, 299, 775 Calculator

1. What is the GCD of 160, 700, 299, 775?

GCD of given numbers 160, 700, 299, 775 is 1


2. How to calculate the greatest common divisor of 160, 700, 299, 775?

We can find the highest common divisor of 160, 700, 299, 775 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 160, 700, 299, 775 i.e 1.


3. How can I use the GCD of 160, 700, 299, 775Calculator?

Out the numbers 160, 700, 299, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.