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GCD of 208, 752, 134, 997 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 752, 134, 997 quickly. Get the easiest ways to solve the greatest common divisor of 208, 752, 134, 997 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 752, 134, 997 with Factoring?

Given Input numbers are 208, 752, 134, 997

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

Divisors of 208 :

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

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997


GCD of numbers is the greatest common divisor

So, the GCD (208, 752, 134, 997) = 1.

Find GCD of 208, 752, 134, 997 using Prime Factorization

Given numbers are 208, 752, 134, 997

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 134 are 2 x 67

Prime factors of 997 are 997

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

Steps to Calculate GCD of 208, 752, 134, 997 using LCM Formula

Given numbers are 208, 752, 134, 997

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

Apply this formula for all numbers.

Step1:

LCM(208, 752) = 9776

GCD(208, 752) = ( 208 x 752 ) / 9776

= 208 / 752

= 208


Step2:

LCM(16, 134) = 1072

GCD(16, 134) = ( 16 x 134 ) / 1072

= 16 / 134

= 16


Step3:

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

= 2 / 997

= 2


So, Greatest Common Divisor of 208, 752, 134, 997 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 752, 134, 997

Given numbers are 208, 752, 134, 997
The greatest common divisor of numbers 208, 752, 134, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 752, 134, 997 is 1.

FAQs on GCD of 208, 752, 134, 997 Calculator

1. What is the GCD of 208, 752, 134, 997?

GCD of given numbers 208, 752, 134, 997 is 1


2. How to calculate the greatest common divisor of 208, 752, 134, 997?

We can find the highest common divisor of 208, 752, 134, 997 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 208, 752, 134, 997 i.e 1.


3. How can I use the GCD of 208, 752, 134, 997Calculator?

Out the numbers 208, 752, 134, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.