GCD of 274, 748, 828 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 274, 748, 828 quickly. Get the easiest ways to solve the greatest common divisor of 274, 748, 828 i.e 2 in different methods as follows.
Given Input numbers are 274, 748, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (274, 748, 828) = 2.
Given numbers are 274, 748, 828
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 274, 748, 828 is 2.
Steps to Calculate GCD of 274, 748, 828 using LCM Formula
Given numbers are 274, 748, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 748) = 102476
GCD(274, 748) = ( 274 x 748 ) / 102476
= 274 / 748
= 274
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 274, 748, 828 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 274, 748, 828
Given numbers are 274, 748, 828
The greatest common divisor of numbers 274, 748, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 748, 828 is 2.
FAQs on GCD of 274, 748, 828 Calculator
1. What is the GCD of 274, 748, 828?
GCD of given numbers 274, 748, 828 is 2
2. How to calculate the greatest common divisor of 274, 748, 828?
We can find the highest common divisor of 274, 748, 828 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 274, 748, 828 i.e 2.
3. How can I use the GCD of 274, 748, 828Calculator?
Out the numbers 274, 748, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.