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GCD of 175, 685, 775, 160 Calculator

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


Online GCD Calculator is useful to find the GCD of 175, 685, 775, 160 quickly. Get the easiest ways to solve the greatest common divisor of 175, 685, 775, 160 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 175, 685, 775, 160 with Factoring?

Given Input numbers are 175, 685, 775, 160

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 775 :

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

1, 5, 25, 31, 155, 775

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


GCD of numbers is the greatest common divisor

So, the GCD (175, 685, 775, 160) = 5.

Find GCD of 175, 685, 775, 160 using Prime Factorization

Given numbers are 175, 685, 775, 160

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 685 are 5 x 137

Prime factors of 775 are 5 x 5 x 31

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

The highest common occurrence is 51

Therefore, GCD of 175, 685, 775, 160 is 5.

Steps to Calculate GCD of 175, 685, 775, 160 using LCM Formula

Given numbers are 175, 685, 775, 160

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

Apply this formula for all numbers.

Step1:

LCM(175, 685) = 23975

GCD(175, 685) = ( 175 x 685 ) / 23975

= 175 / 685

= 175


Step2:

LCM(5, 775) = 775

GCD(5, 775) = ( 5 x 775 ) / 775

= 5 / 775

= 5


Step3:

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

= 5 / 160

= 5


So, Greatest Common Divisor of 175, 685, 775, 160 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 175, 685, 775, 160

Given numbers are 175, 685, 775, 160
The greatest common divisor of numbers 175, 685, 775, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 685, 775, 160 is 5.

FAQs on GCD of 175, 685, 775, 160 Calculator

1. What is the GCD of 175, 685, 775, 160?

GCD of given numbers 175, 685, 775, 160 is 5


2. How to calculate the greatest common divisor of 175, 685, 775, 160?

We can find the highest common divisor of 175, 685, 775, 160 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 175, 685, 775, 160 i.e 5.


3. How can I use the GCD of 175, 685, 775, 160Calculator?

Out the numbers 175, 685, 775, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.