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GCD of 760, 388, 764, 208 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, 388, 764, 208 quickly. Get the easiest ways to solve the greatest common divisor of 760, 388, 764, 208 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 388, 764, 208 with Factoring?

Given Input numbers are 760, 388, 764, 208

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 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208


GCD of numbers is the greatest common divisor

So, the GCD (760, 388, 764, 208) = 4.

Find GCD of 760, 388, 764, 208 using Prime Factorization

Given numbers are 760, 388, 764, 208

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 388 are 2 x 2 x 97

Prime factors of 764 are 2 x 2 x 191

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 22

Therefore, GCD of 760, 388, 764, 208 is 4.

Steps to Calculate GCD of 760, 388, 764, 208 using LCM Formula

Given numbers are 760, 388, 764, 208

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

Apply this formula for all numbers.

Step1:

LCM(760, 388) = 73720

GCD(760, 388) = ( 760 x 388 ) / 73720

= 760 / 388

= 760


Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4


Step3:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4


So, Greatest Common Divisor of 760, 388, 764, 208 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 388, 764, 208

Given numbers are 760, 388, 764, 208
The greatest common divisor of numbers 760, 388, 764, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 388, 764, 208 is 4.

FAQs on GCD of 760, 388, 764, 208 Calculator

1. What is the GCD of 760, 388, 764, 208?

GCD of given numbers 760, 388, 764, 208 is 4


2. How to calculate the greatest common divisor of 760, 388, 764, 208?

We can find the highest common divisor of 760, 388, 764, 208 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, 388, 764, 208 i.e 4.


3. How can I use the GCD of 760, 388, 764, 208Calculator?

Out the numbers 760, 388, 764, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.