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GCD of 708, 206, 148, 104 Calculator

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


Online GCD Calculator is useful to find the GCD of 708, 206, 148, 104 quickly. Get the easiest ways to solve the greatest common divisor of 708, 206, 148, 104 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 708, 206, 148, 104 with Factoring?

Given Input numbers are 708, 206, 148, 104

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104


GCD of numbers is the greatest common divisor

So, the GCD (708, 206, 148, 104) = 2.

Find GCD of 708, 206, 148, 104 using Prime Factorization

Given numbers are 708, 206, 148, 104

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 206 are 2 x 103

Prime factors of 148 are 2 x 2 x 37

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 21

Therefore, GCD of 708, 206, 148, 104 is 2.

Steps to Calculate GCD of 708, 206, 148, 104 using LCM Formula

Given numbers are 708, 206, 148, 104

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

Apply this formula for all numbers.

Step1:

LCM(708, 206) = 72924

GCD(708, 206) = ( 708 x 206 ) / 72924

= 708 / 206

= 708


Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2


Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2


So, Greatest Common Divisor of 708, 206, 148, 104 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 708, 206, 148, 104

Given numbers are 708, 206, 148, 104
The greatest common divisor of numbers 708, 206, 148, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 206, 148, 104 is 2.

FAQs on GCD of 708, 206, 148, 104 Calculator

1. What is the GCD of 708, 206, 148, 104?

GCD of given numbers 708, 206, 148, 104 is 2


2. How to calculate the greatest common divisor of 708, 206, 148, 104?

We can find the highest common divisor of 708, 206, 148, 104 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 708, 206, 148, 104 i.e 2.


3. How can I use the GCD of 708, 206, 148, 104Calculator?

Out the numbers 708, 206, 148, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.