GCD of 758, 718, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 758, 718, 60 quickly. Get the easiest ways to solve the greatest common divisor of 758, 718, 60 i.e 2 in different methods as follows.
Given Input numbers are 758, 718, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (758, 718, 60) = 2.
Given numbers are 758, 718, 60
The list of prime factors of all numbers are
Prime factors of 758 are 2 x 379
Prime factors of 718 are 2 x 359
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 758, 718, 60 is 2.
Steps to Calculate GCD of 758, 718, 60 using LCM Formula
Given numbers are 758, 718, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(758, 718) = 272122
GCD(758, 718) = ( 758 x 718 ) / 272122
= 758 / 718
= 758
Step2:
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
= 2 / 60
= 2
So, Greatest Common Divisor of 758, 718, 60 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 758, 718, 60
Given numbers are 758, 718, 60
The greatest common divisor of numbers 758, 718, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 718, 60 is 2.
FAQs on GCD of 758, 718, 60 Calculator
1. What is the GCD of 758, 718, 60?
GCD of given numbers 758, 718, 60 is 2
2. How to calculate the greatest common divisor of 758, 718, 60?
We can find the highest common divisor of 758, 718, 60 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 758, 718, 60 i.e 2.
3. How can I use the GCD of 758, 718, 60Calculator?
Out the numbers 758, 718, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.