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GCD of 134, 398, 755, 870 Calculator

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


Online GCD Calculator is useful to find the GCD of 134, 398, 755, 870 quickly. Get the easiest ways to solve the greatest common divisor of 134, 398, 755, 870 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 134, 398, 755, 870 with Factoring?

Given Input numbers are 134, 398, 755, 870

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

Divisors of 134 :

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

1, 2, 67, 134

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 755 :

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

1, 5, 151, 755

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870


GCD of numbers is the greatest common divisor

So, the GCD (134, 398, 755, 870) = 1.

Find GCD of 134, 398, 755, 870 using Prime Factorization

Given numbers are 134, 398, 755, 870

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 398 are 2 x 199

Prime factors of 755 are 5 x 151

Prime factors of 870 are 2 x 3 x 5 x 29

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

Steps to Calculate GCD of 134, 398, 755, 870 using LCM Formula

Given numbers are 134, 398, 755, 870

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

Apply this formula for all numbers.

Step1:

LCM(134, 398) = 26666

GCD(134, 398) = ( 134 x 398 ) / 26666

= 134 / 398

= 134


Step2:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2


Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1


So, Greatest Common Divisor of 134, 398, 755, 870 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 134, 398, 755, 870

Given numbers are 134, 398, 755, 870
The greatest common divisor of numbers 134, 398, 755, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 398, 755, 870 is 1.

FAQs on GCD of 134, 398, 755, 870 Calculator

1. What is the GCD of 134, 398, 755, 870?

GCD of given numbers 134, 398, 755, 870 is 1


2. How to calculate the greatest common divisor of 134, 398, 755, 870?

We can find the highest common divisor of 134, 398, 755, 870 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 134, 398, 755, 870 i.e 1.


3. How can I use the GCD of 134, 398, 755, 870Calculator?

Out the numbers 134, 398, 755, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.