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GCD of 832, 860, 108, 740 Calculator

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


Online GCD Calculator is useful to find the GCD of 832, 860, 108, 740 quickly. Get the easiest ways to solve the greatest common divisor of 832, 860, 108, 740 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 832, 860, 108, 740 with Factoring?

Given Input numbers are 832, 860, 108, 740

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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


GCD of numbers is the greatest common divisor

So, the GCD (832, 860, 108, 740) = 4.

Find GCD of 832, 860, 108, 740 using Prime Factorization

Given numbers are 832, 860, 108, 740

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 22

Therefore, GCD of 832, 860, 108, 740 is 4.

Steps to Calculate GCD of 832, 860, 108, 740 using LCM Formula

Given numbers are 832, 860, 108, 740

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

Apply this formula for all numbers.

Step1:

LCM(832, 860) = 178880

GCD(832, 860) = ( 832 x 860 ) / 178880

= 832 / 860

= 832


Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4


Step3:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4


So, Greatest Common Divisor of 832, 860, 108, 740 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 832, 860, 108, 740

Given numbers are 832, 860, 108, 740
The greatest common divisor of numbers 832, 860, 108, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 860, 108, 740 is 4.

FAQs on GCD of 832, 860, 108, 740 Calculator

1. What is the GCD of 832, 860, 108, 740?

GCD of given numbers 832, 860, 108, 740 is 4


2. How to calculate the greatest common divisor of 832, 860, 108, 740?

We can find the highest common divisor of 832, 860, 108, 740 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 832, 860, 108, 740 i.e 4.


3. How can I use the GCD of 832, 860, 108, 740Calculator?

Out the numbers 832, 860, 108, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.