GCD of 348, 672, 15 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 348, 672, 15 quickly. Get the easiest ways to solve the greatest common divisor of 348, 672, 15 i.e 3 in different methods as follows.
Given Input numbers are 348, 672, 15
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
GCD of numbers is the greatest common divisor
So, the GCD (348, 672, 15) = 3.
Given numbers are 348, 672, 15
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 15 are 3 x 5
The highest common occurrence is 31
Therefore, GCD of 348, 672, 15 is 3.
Steps to Calculate GCD of 348, 672, 15 using LCM Formula
Given numbers are 348, 672, 15
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 672) = 19488
GCD(348, 672) = ( 348 x 672 ) / 19488
= 348 / 672
= 348
Step2:
LCM(12, 15) = 60
GCD(12, 15) = ( 12 x 15 ) / 60
= 12 / 15
= 12
So, Greatest Common Divisor of 348, 672, 15 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 348, 672, 15
Given numbers are 348, 672, 15
The greatest common divisor of numbers 348, 672, 15 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 672, 15 is 3.
FAQs on GCD of 348, 672, 15 Calculator
1. What is the GCD of 348, 672, 15?
GCD of given numbers 348, 672, 15 is 3
2. How to calculate the greatest common divisor of 348, 672, 15?
We can find the highest common divisor of 348, 672, 15 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 348, 672, 15 i.e 3.
3. How can I use the GCD of 348, 672, 15Calculator?
Out the numbers 348, 672, 15 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.