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GCD of 840, 140, 262, 345 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 140, 262, 345 quickly. Get the easiest ways to solve the greatest common divisor of 840, 140, 262, 345 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 140, 262, 345 with Factoring?

Given Input numbers are 840, 140, 262, 345

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

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345


GCD of numbers is the greatest common divisor

So, the GCD (840, 140, 262, 345) = 1.

Find GCD of 840, 140, 262, 345 using Prime Factorization

Given numbers are 840, 140, 262, 345

The list of prime factors of all numbers are

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 262 are 2 x 131

Prime factors of 345 are 3 x 5 x 23

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

Steps to Calculate GCD of 840, 140, 262, 345 using LCM Formula

Given numbers are 840, 140, 262, 345

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

Apply this formula for all numbers.

Step1:

LCM(840, 140) = 840

GCD(840, 140) = ( 840 x 140 ) / 840

= 840 / 140

= 840


Step2:

LCM(140, 262) = 18340

GCD(140, 262) = ( 140 x 262 ) / 18340

= 140 / 262

= 140


Step3:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2


So, Greatest Common Divisor of 840, 140, 262, 345 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 140, 262, 345

Given numbers are 840, 140, 262, 345
The greatest common divisor of numbers 840, 140, 262, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 140, 262, 345 is 1.

FAQs on GCD of 840, 140, 262, 345 Calculator

1. What is the GCD of 840, 140, 262, 345?

GCD of given numbers 840, 140, 262, 345 is 1


2. How to calculate the greatest common divisor of 840, 140, 262, 345?

We can find the highest common divisor of 840, 140, 262, 345 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 840, 140, 262, 345 i.e 1.


3. How can I use the GCD of 840, 140, 262, 345Calculator?

Out the numbers 840, 140, 262, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.