GCD of 74, 66, 14, 10 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 74, 66, 14, 10 quickly. Get the easiest ways to solve the greatest common divisor of 74, 66, 14, 10 i.e 2 in different methods as follows.
Given Input numbers are 74, 66, 14, 10
In the factoring method, we have to find the divisors of all numbers
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 10 :
The positive integer divisors of 10 that completely divides 10 are.
1, 2, 5, 10
GCD of numbers is the greatest common divisor
So, the GCD (74, 66, 14, 10) = 2.
Given numbers are 74, 66, 14, 10
The list of prime factors of all numbers are
Prime factors of 74 are 2 x 37
Prime factors of 66 are 2 x 3 x 11
Prime factors of 14 are 2 x 7
Prime factors of 10 are 2 x 5
The highest common occurrence is 21
Therefore, GCD of 74, 66, 14, 10 is 2.
Steps to Calculate GCD of 74, 66, 14, 10 using LCM Formula
Given numbers are 74, 66, 14, 10
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(74, 66) = 2442
GCD(74, 66) = ( 74 x 66 ) / 2442
= 74 / 66
= 74
Step2:
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
= 2 / 14
= 2
Step3:
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
= 2 / 10
= 2
So, Greatest Common Divisor of 74, 66, 14, 10 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 74, 66, 14, 10
Given numbers are 74, 66, 14, 10
The greatest common divisor of numbers 74, 66, 14, 10 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 74, 66, 14, 10 is 2.
FAQs on GCD of 74, 66, 14, 10 Calculator
1. What is the GCD of 74, 66, 14, 10?
GCD of given numbers 74, 66, 14, 10 is 2
2. How to calculate the greatest common divisor of 74, 66, 14, 10?
We can find the highest common divisor of 74, 66, 14, 10 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 74, 66, 14, 10 i.e 2.
3. How can I use the GCD of 74, 66, 14, 10Calculator?
Out the numbers 74, 66, 14, 10 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.