GCD of 276, 897, 420 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 897, 420 quickly. Get the easiest ways to solve the greatest common divisor of 276, 897, 420 i.e 3 in different methods as follows.
Given Input numbers are 276, 897, 420
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 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
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
GCD of numbers is the greatest common divisor
So, the GCD (276, 897, 420) = 3.
Given numbers are 276, 897, 420
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 897 are 3 x 13 x 23
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 276, 897, 420 is 3.
Steps to Calculate GCD of 276, 897, 420 using LCM Formula
Given numbers are 276, 897, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 897) = 3588
GCD(276, 897) = ( 276 x 897 ) / 3588
= 276 / 897
= 276
Step2:
LCM(69, 420) = 9660
GCD(69, 420) = ( 69 x 420 ) / 9660
= 69 / 420
= 69
So, Greatest Common Divisor of 276, 897, 420 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 276, 897, 420
Given numbers are 276, 897, 420
The greatest common divisor of numbers 276, 897, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 897, 420 is 3.
FAQs on GCD of 276, 897, 420 Calculator
1. What is the GCD of 276, 897, 420?
GCD of given numbers 276, 897, 420 is 3
2. How to calculate the greatest common divisor of 276, 897, 420?
We can find the highest common divisor of 276, 897, 420 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, 897, 420 i.e 3.
3. How can I use the GCD of 276, 897, 420Calculator?
Out the numbers 276, 897, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.