GCD of 369, 420, 948 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 369, 420, 948 quickly. Get the easiest ways to solve the greatest common divisor of 369, 420, 948 i.e 3 in different methods as follows.
Given Input numbers are 369, 420, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (369, 420, 948) = 3.
Given numbers are 369, 420, 948
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 369, 420, 948 is 3.
Steps to Calculate GCD of 369, 420, 948 using LCM Formula
Given numbers are 369, 420, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 420) = 51660
GCD(369, 420) = ( 369 x 420 ) / 51660
= 369 / 420
= 369
Step2:
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
= 3 / 948
= 3
So, Greatest Common Divisor of 369, 420, 948 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 369, 420, 948
Given numbers are 369, 420, 948
The greatest common divisor of numbers 369, 420, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 420, 948 is 3.
FAQs on GCD of 369, 420, 948 Calculator
1. What is the GCD of 369, 420, 948?
GCD of given numbers 369, 420, 948 is 3
2. How to calculate the greatest common divisor of 369, 420, 948?
We can find the highest common divisor of 369, 420, 948 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 369, 420, 948 i.e 3.
3. How can I use the GCD of 369, 420, 948Calculator?
Out the numbers 369, 420, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.