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GCD of 755, 509, 120, 526 Calculator

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


Online GCD Calculator is useful to find the GCD of 755, 509, 120, 526 quickly. Get the easiest ways to solve the greatest common divisor of 755, 509, 120, 526 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 755, 509, 120, 526 with Factoring?

Given Input numbers are 755, 509, 120, 526

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526


GCD of numbers is the greatest common divisor

So, the GCD (755, 509, 120, 526) = 1.

Find GCD of 755, 509, 120, 526 using Prime Factorization

Given numbers are 755, 509, 120, 526

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 509 are 509

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 526 are 2 x 263

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

Steps to Calculate GCD of 755, 509, 120, 526 using LCM Formula

Given numbers are 755, 509, 120, 526

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

Apply this formula for all numbers.

Step1:

LCM(755, 509) = 384295

GCD(755, 509) = ( 755 x 509 ) / 384295

= 755 / 509

= 755


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

= 1 / 526

= 1


So, Greatest Common Divisor of 755, 509, 120, 526 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 755, 509, 120, 526

Given numbers are 755, 509, 120, 526
The greatest common divisor of numbers 755, 509, 120, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 509, 120, 526 is 1.

FAQs on GCD of 755, 509, 120, 526 Calculator

1. What is the GCD of 755, 509, 120, 526?

GCD of given numbers 755, 509, 120, 526 is 1


2. How to calculate the greatest common divisor of 755, 509, 120, 526?

We can find the highest common divisor of 755, 509, 120, 526 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 755, 509, 120, 526 i.e 1.


3. How can I use the GCD of 755, 509, 120, 526Calculator?

Out the numbers 755, 509, 120, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.