GCD of 495, 942, 348 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 495, 942, 348 quickly. Get the easiest ways to solve the greatest common divisor of 495, 942, 348 i.e 3 in different methods as follows.
Given Input numbers are 495, 942, 348
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (495, 942, 348) = 3.
Given numbers are 495, 942, 348
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 942 are 2 x 3 x 157
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 31
Therefore, GCD of 495, 942, 348 is 3.
Steps to Calculate GCD of 495, 942, 348 using LCM Formula
Given numbers are 495, 942, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 942) = 155430
GCD(495, 942) = ( 495 x 942 ) / 155430
= 495 / 942
= 495
Step2:
LCM(3, 348) = 348
GCD(3, 348) = ( 3 x 348 ) / 348
= 3 / 348
= 3
So, Greatest Common Divisor of 495, 942, 348 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 495, 942, 348
Given numbers are 495, 942, 348
The greatest common divisor of numbers 495, 942, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 942, 348 is 3.
FAQs on GCD of 495, 942, 348 Calculator
1. What is the GCD of 495, 942, 348?
GCD of given numbers 495, 942, 348 is 3
2. How to calculate the greatest common divisor of 495, 942, 348?
We can find the highest common divisor of 495, 942, 348 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 495, 942, 348 i.e 3.
3. How can I use the GCD of 495, 942, 348Calculator?
Out the numbers 495, 942, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.