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GCD of 535, 745, 425, 455 Calculator

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


Online GCD Calculator is useful to find the GCD of 535, 745, 425, 455 quickly. Get the easiest ways to solve the greatest common divisor of 535, 745, 425, 455 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 535, 745, 425, 455 with Factoring?

Given Input numbers are 535, 745, 425, 455

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

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455


GCD of numbers is the greatest common divisor

So, the GCD (535, 745, 425, 455) = 5.

Find GCD of 535, 745, 425, 455 using Prime Factorization

Given numbers are 535, 745, 425, 455

The list of prime factors of all numbers are

Prime factors of 535 are 5 x 107

Prime factors of 745 are 5 x 149

Prime factors of 425 are 5 x 5 x 17

Prime factors of 455 are 5 x 7 x 13

The highest common occurrence is 51

Therefore, GCD of 535, 745, 425, 455 is 5.

Steps to Calculate GCD of 535, 745, 425, 455 using LCM Formula

Given numbers are 535, 745, 425, 455

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

Apply this formula for all numbers.

Step1:

LCM(535, 745) = 79715

GCD(535, 745) = ( 535 x 745 ) / 79715

= 535 / 745

= 535


Step2:

LCM(5, 425) = 425

GCD(5, 425) = ( 5 x 425 ) / 425

= 5 / 425

= 5


Step3:

LCM(5, 455) = 455

GCD(5, 455) = ( 5 x 455 ) / 455

= 5 / 455

= 5


So, Greatest Common Divisor of 535, 745, 425, 455 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 535, 745, 425, 455

Given numbers are 535, 745, 425, 455
The greatest common divisor of numbers 535, 745, 425, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 535, 745, 425, 455 is 5.

FAQs on GCD of 535, 745, 425, 455 Calculator

1. What is the GCD of 535, 745, 425, 455?

GCD of given numbers 535, 745, 425, 455 is 5


2. How to calculate the greatest common divisor of 535, 745, 425, 455?

We can find the highest common divisor of 535, 745, 425, 455 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 535, 745, 425, 455 i.e 5.


3. How can I use the GCD of 535, 745, 425, 455Calculator?

Out the numbers 535, 745, 425, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.