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GCD of 385, 154, 67 Calculator

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


Online GCD Calculator is useful to find the GCD of 385, 154, 67 quickly. Get the easiest ways to solve the greatest common divisor of 385, 154, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 154, 67 with Factoring?

Given Input numbers are 385, 154, 67

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67


GCD of numbers is the greatest common divisor

So, the GCD (385, 154, 67) = 1.

Find GCD of 385, 154, 67 using Prime Factorization

Given numbers are 385, 154, 67

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 154 are 2 x 7 x 11

Prime factors of 67 are 67

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

Steps to Calculate GCD of 385, 154, 67 using LCM Formula

Given numbers are 385, 154, 67

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

Apply this formula for all numbers.

Step1:

LCM(385, 154) = 770

GCD(385, 154) = ( 385 x 154 ) / 770

= 385 / 154

= 385


Step2:

LCM(77, 67) = 5159

GCD(77, 67) = ( 77 x 67 ) / 5159

= 77 / 67

= 77


So, Greatest Common Divisor of 385, 154, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 154, 67

Given numbers are 385, 154, 67
The greatest common divisor of numbers 385, 154, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 154, 67 is 1.

FAQs on GCD of 385, 154, 67 Calculator

1. What is the GCD of 385, 154, 67?

GCD of given numbers 385, 154, 67 is 1


2. How to calculate the greatest common divisor of 385, 154, 67?

We can find the highest common divisor of 385, 154, 67 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 385, 154, 67 i.e 1.


3. How can I use the GCD of 385, 154, 67Calculator?

Out the numbers 385, 154, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.