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GCD of 470, 142, 741, 175 Calculator

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


Online GCD Calculator is useful to find the GCD of 470, 142, 741, 175 quickly. Get the easiest ways to solve the greatest common divisor of 470, 142, 741, 175 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 470, 142, 741, 175 with Factoring?

Given Input numbers are 470, 142, 741, 175

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 175 :

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

1, 5, 7, 25, 35, 175


GCD of numbers is the greatest common divisor

So, the GCD (470, 142, 741, 175) = 1.

Find GCD of 470, 142, 741, 175 using Prime Factorization

Given numbers are 470, 142, 741, 175

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 142 are 2 x 71

Prime factors of 741 are 3 x 13 x 19

Prime factors of 175 are 5 x 5 x 7

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

Steps to Calculate GCD of 470, 142, 741, 175 using LCM Formula

Given numbers are 470, 142, 741, 175

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

Apply this formula for all numbers.

Step1:

LCM(470, 142) = 33370

GCD(470, 142) = ( 470 x 142 ) / 33370

= 470 / 142

= 470


Step2:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2


Step3:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1


So, Greatest Common Divisor of 470, 142, 741, 175 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 470, 142, 741, 175

Given numbers are 470, 142, 741, 175
The greatest common divisor of numbers 470, 142, 741, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 142, 741, 175 is 1.

FAQs on GCD of 470, 142, 741, 175 Calculator

1. What is the GCD of 470, 142, 741, 175?

GCD of given numbers 470, 142, 741, 175 is 1


2. How to calculate the greatest common divisor of 470, 142, 741, 175?

We can find the highest common divisor of 470, 142, 741, 175 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 470, 142, 741, 175 i.e 1.


3. How can I use the GCD of 470, 142, 741, 175Calculator?

Out the numbers 470, 142, 741, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.