GCD of 742, 684, 378 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 742, 684, 378 quickly. Get the easiest ways to solve the greatest common divisor of 742, 684, 378 i.e 2 in different methods as follows.
Given Input numbers are 742, 684, 378
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (742, 684, 378) = 2.
Given numbers are 742, 684, 378
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 742, 684, 378 is 2.
Steps to Calculate GCD of 742, 684, 378 using LCM Formula
Given numbers are 742, 684, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 684) = 253764
GCD(742, 684) = ( 742 x 684 ) / 253764
= 742 / 684
= 742
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 742, 684, 378 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 742, 684, 378
Given numbers are 742, 684, 378
The greatest common divisor of numbers 742, 684, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 684, 378 is 2.
FAQs on GCD of 742, 684, 378 Calculator
1. What is the GCD of 742, 684, 378?
GCD of given numbers 742, 684, 378 is 2
2. How to calculate the greatest common divisor of 742, 684, 378?
We can find the highest common divisor of 742, 684, 378 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, 684, 378 i.e 2.
3. How can I use the GCD of 742, 684, 378Calculator?
Out the numbers 742, 684, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.