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GCD of 480, 475, 740, 118 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 475, 740, 118 quickly. Get the easiest ways to solve the greatest common divisor of 480, 475, 740, 118 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 475, 740, 118 with Factoring?

Given Input numbers are 480, 475, 740, 118

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118


GCD of numbers is the greatest common divisor

So, the GCD (480, 475, 740, 118) = 1.

Find GCD of 480, 475, 740, 118 using Prime Factorization

Given numbers are 480, 475, 740, 118

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 475 are 5 x 5 x 19

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 118 are 2 x 59

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

Steps to Calculate GCD of 480, 475, 740, 118 using LCM Formula

Given numbers are 480, 475, 740, 118

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

Apply this formula for all numbers.

Step1:

LCM(480, 475) = 45600

GCD(480, 475) = ( 480 x 475 ) / 45600

= 480 / 475

= 480


Step2:

LCM(5, 740) = 740

GCD(5, 740) = ( 5 x 740 ) / 740

= 5 / 740

= 5


Step3:

LCM(5, 118) = 590

GCD(5, 118) = ( 5 x 118 ) / 590

= 5 / 118

= 5


So, Greatest Common Divisor of 480, 475, 740, 118 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 475, 740, 118

Given numbers are 480, 475, 740, 118
The greatest common divisor of numbers 480, 475, 740, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 475, 740, 118 is 1.

FAQs on GCD of 480, 475, 740, 118 Calculator

1. What is the GCD of 480, 475, 740, 118?

GCD of given numbers 480, 475, 740, 118 is 1


2. How to calculate the greatest common divisor of 480, 475, 740, 118?

We can find the highest common divisor of 480, 475, 740, 118 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 480, 475, 740, 118 i.e 1.


3. How can I use the GCD of 480, 475, 740, 118Calculator?

Out the numbers 480, 475, 740, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.