GCD of 738, 848, 316 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 738, 848, 316 quickly. Get the easiest ways to solve the greatest common divisor of 738, 848, 316 i.e 2 in different methods as follows.
Given Input numbers are 738, 848, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (738, 848, 316) = 2.
Given numbers are 738, 848, 316
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 738, 848, 316 is 2.
Steps to Calculate GCD of 738, 848, 316 using LCM Formula
Given numbers are 738, 848, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 848) = 312912
GCD(738, 848) = ( 738 x 848 ) / 312912
= 738 / 848
= 738
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
So, Greatest Common Divisor of 738, 848, 316 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 738, 848, 316
Given numbers are 738, 848, 316
The greatest common divisor of numbers 738, 848, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 848, 316 is 2.
FAQs on GCD of 738, 848, 316 Calculator
1. What is the GCD of 738, 848, 316?
GCD of given numbers 738, 848, 316 is 2
2. How to calculate the greatest common divisor of 738, 848, 316?
We can find the highest common divisor of 738, 848, 316 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 738, 848, 316 i.e 2.
3. How can I use the GCD of 738, 848, 316Calculator?
Out the numbers 738, 848, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.