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GCD of 46, 10, 76, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 46, 10, 76, 48 quickly. Get the easiest ways to solve the greatest common divisor of 46, 10, 76, 48 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 46, 10, 76, 48 with Factoring?

Given Input numbers are 46, 10, 76, 48

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

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (46, 10, 76, 48) = 2.

Find GCD of 46, 10, 76, 48 using Prime Factorization

Given numbers are 46, 10, 76, 48

The list of prime factors of all numbers are

Prime factors of 46 are 2 x 23

Prime factors of 10 are 2 x 5

Prime factors of 76 are 2 x 2 x 19

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 46, 10, 76, 48 is 2.

Steps to Calculate GCD of 46, 10, 76, 48 using LCM Formula

Given numbers are 46, 10, 76, 48

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

Apply this formula for all numbers.

Step1:

LCM(46, 10) = 230

GCD(46, 10) = ( 46 x 10 ) / 230

= 46 / 10

= 46


Step2:

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

= 2 / 76

= 2


Step3:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2


So, Greatest Common Divisor of 46, 10, 76, 48 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 46, 10, 76, 48

Given numbers are 46, 10, 76, 48
The greatest common divisor of numbers 46, 10, 76, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 46, 10, 76, 48 is 2.

FAQs on GCD of 46, 10, 76, 48 Calculator

1. What is the GCD of 46, 10, 76, 48?

GCD of given numbers 46, 10, 76, 48 is 2


2. How to calculate the greatest common divisor of 46, 10, 76, 48?

We can find the highest common divisor of 46, 10, 76, 48 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 46, 10, 76, 48 i.e 2.


3. How can I use the GCD of 46, 10, 76, 48Calculator?

Out the numbers 46, 10, 76, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.