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GCD of 860, 740, 200, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 860, 740, 200, 336 quickly. Get the easiest ways to solve the greatest common divisor of 860, 740, 200, 336 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 860, 740, 200, 336 with Factoring?

Given Input numbers are 860, 740, 200, 336

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

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (860, 740, 200, 336) = 4.

Find GCD of 860, 740, 200, 336 using Prime Factorization

Given numbers are 860, 740, 200, 336

The list of prime factors of all numbers are

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 860, 740, 200, 336 is 4.

Steps to Calculate GCD of 860, 740, 200, 336 using LCM Formula

Given numbers are 860, 740, 200, 336

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

Apply this formula for all numbers.

Step1:

LCM(860, 740) = 31820

GCD(860, 740) = ( 860 x 740 ) / 31820

= 860 / 740

= 860


Step2:

LCM(20, 200) = 200

GCD(20, 200) = ( 20 x 200 ) / 200

= 20 / 200

= 20


Step3:

LCM(20, 336) = 1680

GCD(20, 336) = ( 20 x 336 ) / 1680

= 20 / 336

= 20


So, Greatest Common Divisor of 860, 740, 200, 336 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 860, 740, 200, 336

Given numbers are 860, 740, 200, 336
The greatest common divisor of numbers 860, 740, 200, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 860, 740, 200, 336 is 4.

FAQs on GCD of 860, 740, 200, 336 Calculator

1. What is the GCD of 860, 740, 200, 336?

GCD of given numbers 860, 740, 200, 336 is 4


2. How to calculate the greatest common divisor of 860, 740, 200, 336?

We can find the highest common divisor of 860, 740, 200, 336 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 860, 740, 200, 336 i.e 4.


3. How can I use the GCD of 860, 740, 200, 336Calculator?

Out the numbers 860, 740, 200, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.