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GCD of 340, 440, 87, 142 Calculator

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


Online GCD Calculator is useful to find the GCD of 340, 440, 87, 142 quickly. Get the easiest ways to solve the greatest common divisor of 340, 440, 87, 142 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 440, 87, 142 with Factoring?

Given Input numbers are 340, 440, 87, 142

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142


GCD of numbers is the greatest common divisor

So, the GCD (340, 440, 87, 142) = 1.

Find GCD of 340, 440, 87, 142 using Prime Factorization

Given numbers are 340, 440, 87, 142

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 87 are 3 x 29

Prime factors of 142 are 2 x 71

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

Steps to Calculate GCD of 340, 440, 87, 142 using LCM Formula

Given numbers are 340, 440, 87, 142

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

Apply this formula for all numbers.

Step1:

LCM(340, 440) = 7480

GCD(340, 440) = ( 340 x 440 ) / 7480

= 340 / 440

= 340


Step2:

LCM(20, 87) = 1740

GCD(20, 87) = ( 20 x 87 ) / 1740

= 20 / 87

= 20


Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1


So, Greatest Common Divisor of 340, 440, 87, 142 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 440, 87, 142

Given numbers are 340, 440, 87, 142
The greatest common divisor of numbers 340, 440, 87, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 440, 87, 142 is 1.

FAQs on GCD of 340, 440, 87, 142 Calculator

1. What is the GCD of 340, 440, 87, 142?

GCD of given numbers 340, 440, 87, 142 is 1


2. How to calculate the greatest common divisor of 340, 440, 87, 142?

We can find the highest common divisor of 340, 440, 87, 142 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 340, 440, 87, 142 i.e 1.


3. How can I use the GCD of 340, 440, 87, 142Calculator?

Out the numbers 340, 440, 87, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.