GCD of 507, 420, 921 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 507, 420, 921 quickly. Get the easiest ways to solve the greatest common divisor of 507, 420, 921 i.e 3 in different methods as follows.
Given Input numbers are 507, 420, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
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 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (507, 420, 921) = 3.
Given numbers are 507, 420, 921
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 507, 420, 921 is 3.
Steps to Calculate GCD of 507, 420, 921 using LCM Formula
Given numbers are 507, 420, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 420) = 70980
GCD(507, 420) = ( 507 x 420 ) / 70980
= 507 / 420
= 507
Step2:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 507, 420, 921 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 507, 420, 921
Given numbers are 507, 420, 921
The greatest common divisor of numbers 507, 420, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 420, 921 is 3.
FAQs on GCD of 507, 420, 921 Calculator
1. What is the GCD of 507, 420, 921?
GCD of given numbers 507, 420, 921 is 3
2. How to calculate the greatest common divisor of 507, 420, 921?
We can find the highest common divisor of 507, 420, 921 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 507, 420, 921 i.e 3.
3. How can I use the GCD of 507, 420, 921Calculator?
Out the numbers 507, 420, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.