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GCD of 760, 216, 755, 348 Calculator

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


Online GCD Calculator is useful to find the GCD of 760, 216, 755, 348 quickly. Get the easiest ways to solve the greatest common divisor of 760, 216, 755, 348 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 216, 755, 348 with Factoring?

Given Input numbers are 760, 216, 755, 348

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 755 :

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

1, 5, 151, 755

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348


GCD of numbers is the greatest common divisor

So, the GCD (760, 216, 755, 348) = 1.

Find GCD of 760, 216, 755, 348 using Prime Factorization

Given numbers are 760, 216, 755, 348

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 755 are 5 x 151

Prime factors of 348 are 2 x 2 x 3 x 29

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

Steps to Calculate GCD of 760, 216, 755, 348 using LCM Formula

Given numbers are 760, 216, 755, 348

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

Apply this formula for all numbers.

Step1:

LCM(760, 216) = 20520

GCD(760, 216) = ( 760 x 216 ) / 20520

= 760 / 216

= 760


Step2:

LCM(8, 755) = 6040

GCD(8, 755) = ( 8 x 755 ) / 6040

= 8 / 755

= 8


Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1


So, Greatest Common Divisor of 760, 216, 755, 348 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 216, 755, 348

Given numbers are 760, 216, 755, 348
The greatest common divisor of numbers 760, 216, 755, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 216, 755, 348 is 1.

FAQs on GCD of 760, 216, 755, 348 Calculator

1. What is the GCD of 760, 216, 755, 348?

GCD of given numbers 760, 216, 755, 348 is 1


2. How to calculate the greatest common divisor of 760, 216, 755, 348?

We can find the highest common divisor of 760, 216, 755, 348 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 760, 216, 755, 348 i.e 1.


3. How can I use the GCD of 760, 216, 755, 348Calculator?

Out the numbers 760, 216, 755, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.