GCD of 742, 530, 848 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 530, 848 quickly. Get the easiest ways to solve the greatest common divisor of 742, 530, 848 i.e 106 in different methods as follows.
Given Input numbers are 742, 530, 848
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
GCD of numbers is the greatest common divisor
So, the GCD (742, 530, 848) = 106.
Given numbers are 742, 530, 848
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 530 are 2 x 5 x 53
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
The highest common occurrence is 21 x 531
Therefore, GCD of 742, 530, 848 is 106.
Steps to Calculate GCD of 742, 530, 848 using LCM Formula
Given numbers are 742, 530, 848
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 530) = 3710
GCD(742, 530) = ( 742 x 530 ) / 3710
= 742 / 530
= 742
Step2:
LCM(106, 848) = 848
GCD(106, 848) = ( 106 x 848 ) / 848
= 106 / 848
= 106
So, Greatest Common Divisor of 742, 530, 848 is 106
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 742, 530, 848
Given numbers are 742, 530, 848
The greatest common divisor of numbers 742, 530, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 530, 848 is 106.
FAQs on GCD of 742, 530, 848 Calculator
1. What is the GCD of 742, 530, 848?
GCD of given numbers 742, 530, 848 is 106
2. How to calculate the greatest common divisor of 742, 530, 848?
We can find the highest common divisor of 742, 530, 848 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 742, 530, 848 i.e 106.
3. How can I use the GCD of 742, 530, 848Calculator?
Out the numbers 742, 530, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.