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GCD of 854, 385, 974, 143 Calculator

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


Online GCD Calculator is useful to find the GCD of 854, 385, 974, 143 quickly. Get the easiest ways to solve the greatest common divisor of 854, 385, 974, 143 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 854, 385, 974, 143 with Factoring?

Given Input numbers are 854, 385, 974, 143

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 385 :

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

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143


GCD of numbers is the greatest common divisor

So, the GCD (854, 385, 974, 143) = 1.

Find GCD of 854, 385, 974, 143 using Prime Factorization

Given numbers are 854, 385, 974, 143

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 385 are 5 x 7 x 11

Prime factors of 974 are 2 x 487

Prime factors of 143 are 11 x 13

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

Steps to Calculate GCD of 854, 385, 974, 143 using LCM Formula

Given numbers are 854, 385, 974, 143

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

Apply this formula for all numbers.

Step1:

LCM(854, 385) = 46970

GCD(854, 385) = ( 854 x 385 ) / 46970

= 854 / 385

= 854


Step2:

LCM(7, 974) = 6818

GCD(7, 974) = ( 7 x 974 ) / 6818

= 7 / 974

= 7


Step3:

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

= 1 / 143

= 1


So, Greatest Common Divisor of 854, 385, 974, 143 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 854, 385, 974, 143

Given numbers are 854, 385, 974, 143
The greatest common divisor of numbers 854, 385, 974, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 385, 974, 143 is 1.

FAQs on GCD of 854, 385, 974, 143 Calculator

1. What is the GCD of 854, 385, 974, 143?

GCD of given numbers 854, 385, 974, 143 is 1


2. How to calculate the greatest common divisor of 854, 385, 974, 143?

We can find the highest common divisor of 854, 385, 974, 143 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 854, 385, 974, 143 i.e 1.


3. How can I use the GCD of 854, 385, 974, 143Calculator?

Out the numbers 854, 385, 974, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.