GCD of 252, 742, 224 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 252, 742, 224 quickly. Get the easiest ways to solve the greatest common divisor of 252, 742, 224 i.e 14 in different methods as follows.
Given Input numbers are 252, 742, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (252, 742, 224) = 14.
Given numbers are 252, 742, 224
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 252, 742, 224 is 14.
Steps to Calculate GCD of 252, 742, 224 using LCM Formula
Given numbers are 252, 742, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 742) = 13356
GCD(252, 742) = ( 252 x 742 ) / 13356
= 252 / 742
= 252
Step2:
LCM(14, 224) = 224
GCD(14, 224) = ( 14 x 224 ) / 224
= 14 / 224
= 14
So, Greatest Common Divisor of 252, 742, 224 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 252, 742, 224
Given numbers are 252, 742, 224
The greatest common divisor of numbers 252, 742, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 742, 224 is 14.
FAQs on GCD of 252, 742, 224 Calculator
1. What is the GCD of 252, 742, 224?
GCD of given numbers 252, 742, 224 is 14
2. How to calculate the greatest common divisor of 252, 742, 224?
We can find the highest common divisor of 252, 742, 224 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 252, 742, 224 i.e 14.
3. How can I use the GCD of 252, 742, 224Calculator?
Out the numbers 252, 742, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.