LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 714, 862, 382, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 714, 862, 382, 135 quickly. Get the easiest ways to solve the greatest common divisor of 714, 862, 382, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 714, 862, 382, 135 with Factoring?

Given Input numbers are 714, 862, 382, 135

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (714, 862, 382, 135) = 1.

Find GCD of 714, 862, 382, 135 using Prime Factorization

Given numbers are 714, 862, 382, 135

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 862 are 2 x 431

Prime factors of 382 are 2 x 191

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 714, 862, 382, 135 using LCM Formula

Given numbers are 714, 862, 382, 135

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

Apply this formula for all numbers.

Step1:

LCM(714, 862) = 307734

GCD(714, 862) = ( 714 x 862 ) / 307734

= 714 / 862

= 714


Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2


Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


So, Greatest Common Divisor of 714, 862, 382, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 714, 862, 382, 135

Given numbers are 714, 862, 382, 135
The greatest common divisor of numbers 714, 862, 382, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 862, 382, 135 is 1.

FAQs on GCD of 714, 862, 382, 135 Calculator

1. What is the GCD of 714, 862, 382, 135?

GCD of given numbers 714, 862, 382, 135 is 1


2. How to calculate the greatest common divisor of 714, 862, 382, 135?

We can find the highest common divisor of 714, 862, 382, 135 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 714, 862, 382, 135 i.e 1.


3. How can I use the GCD of 714, 862, 382, 135Calculator?

Out the numbers 714, 862, 382, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.