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GCD of 105, 840, 473, 701 Calculator

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


Online GCD Calculator is useful to find the GCD of 105, 840, 473, 701 quickly. Get the easiest ways to solve the greatest common divisor of 105, 840, 473, 701 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 105, 840, 473, 701 with Factoring?

Given Input numbers are 105, 840, 473, 701

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701


GCD of numbers is the greatest common divisor

So, the GCD (105, 840, 473, 701) = 1.

Find GCD of 105, 840, 473, 701 using Prime Factorization

Given numbers are 105, 840, 473, 701

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 473 are 11 x 43

Prime factors of 701 are 701

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

Steps to Calculate GCD of 105, 840, 473, 701 using LCM Formula

Given numbers are 105, 840, 473, 701

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

Apply this formula for all numbers.

Step1:

LCM(105, 840) = 840

GCD(105, 840) = ( 105 x 840 ) / 840

= 105 / 840

= 105


Step2:

LCM(105, 473) = 49665

GCD(105, 473) = ( 105 x 473 ) / 49665

= 105 / 473

= 105


Step3:

LCM(1, 701) = 701

GCD(1, 701) = ( 1 x 701 ) / 701

= 1 / 701

= 1


So, Greatest Common Divisor of 105, 840, 473, 701 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 105, 840, 473, 701

Given numbers are 105, 840, 473, 701
The greatest common divisor of numbers 105, 840, 473, 701 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 840, 473, 701 is 1.

FAQs on GCD of 105, 840, 473, 701 Calculator

1. What is the GCD of 105, 840, 473, 701?

GCD of given numbers 105, 840, 473, 701 is 1


2. How to calculate the greatest common divisor of 105, 840, 473, 701?

We can find the highest common divisor of 105, 840, 473, 701 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 105, 840, 473, 701 i.e 1.


3. How can I use the GCD of 105, 840, 473, 701Calculator?

Out the numbers 105, 840, 473, 701 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.