GCD of 276, 735, 498 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 735, 498 quickly. Get the easiest ways to solve the greatest common divisor of 276, 735, 498 i.e 3 in different methods as follows.
Given Input numbers are 276, 735, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (276, 735, 498) = 3.
Given numbers are 276, 735, 498
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 276, 735, 498 is 3.
Steps to Calculate GCD of 276, 735, 498 using LCM Formula
Given numbers are 276, 735, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 735) = 67620
GCD(276, 735) = ( 276 x 735 ) / 67620
= 276 / 735
= 276
Step2:
LCM(3, 498) = 498
GCD(3, 498) = ( 3 x 498 ) / 498
= 3 / 498
= 3
So, Greatest Common Divisor of 276, 735, 498 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 276, 735, 498
Given numbers are 276, 735, 498
The greatest common divisor of numbers 276, 735, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 735, 498 is 3.
FAQs on GCD of 276, 735, 498 Calculator
1. What is the GCD of 276, 735, 498?
GCD of given numbers 276, 735, 498 is 3
2. How to calculate the greatest common divisor of 276, 735, 498?
We can find the highest common divisor of 276, 735, 498 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 276, 735, 498 i.e 3.
3. How can I use the GCD of 276, 735, 498Calculator?
Out the numbers 276, 735, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.