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GCD of 892, 436, 85, 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 892, 436, 85, 135 quickly. Get the easiest ways to solve the greatest common divisor of 892, 436, 85, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 892, 436, 85, 135 with Factoring?

Given Input numbers are 892, 436, 85, 135

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

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 (892, 436, 85, 135) = 1.

Find GCD of 892, 436, 85, 135 using Prime Factorization

Given numbers are 892, 436, 85, 135

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 436 are 2 x 2 x 109

Prime factors of 85 are 5 x 17

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 892, 436, 85, 135 using LCM Formula

Given numbers are 892, 436, 85, 135

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

Apply this formula for all numbers.

Step1:

LCM(892, 436) = 97228

GCD(892, 436) = ( 892 x 436 ) / 97228

= 892 / 436

= 892


Step2:

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

= 4 / 85

= 4


Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


So, Greatest Common Divisor of 892, 436, 85, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 892, 436, 85, 135

Given numbers are 892, 436, 85, 135
The greatest common divisor of numbers 892, 436, 85, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 436, 85, 135 is 1.

FAQs on GCD of 892, 436, 85, 135 Calculator

1. What is the GCD of 892, 436, 85, 135?

GCD of given numbers 892, 436, 85, 135 is 1


2. How to calculate the greatest common divisor of 892, 436, 85, 135?

We can find the highest common divisor of 892, 436, 85, 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 892, 436, 85, 135 i.e 1.


3. How can I use the GCD of 892, 436, 85, 135Calculator?

Out the numbers 892, 436, 85, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.