GCD of 126, 770, 392 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 126, 770, 392 quickly. Get the easiest ways to solve the greatest common divisor of 126, 770, 392 i.e 14 in different methods as follows.
Given Input numbers are 126, 770, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (126, 770, 392) = 14.
Given numbers are 126, 770, 392
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 126, 770, 392 is 14.
Steps to Calculate GCD of 126, 770, 392 using LCM Formula
Given numbers are 126, 770, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 770) = 6930
GCD(126, 770) = ( 126 x 770 ) / 6930
= 126 / 770
= 126
Step2:
LCM(14, 392) = 392
GCD(14, 392) = ( 14 x 392 ) / 392
= 14 / 392
= 14
So, Greatest Common Divisor of 126, 770, 392 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 126, 770, 392
Given numbers are 126, 770, 392
The greatest common divisor of numbers 126, 770, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 770, 392 is 14.
FAQs on GCD of 126, 770, 392 Calculator
1. What is the GCD of 126, 770, 392?
GCD of given numbers 126, 770, 392 is 14
2. How to calculate the greatest common divisor of 126, 770, 392?
We can find the highest common divisor of 126, 770, 392 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 126, 770, 392 i.e 14.
3. How can I use the GCD of 126, 770, 392Calculator?
Out the numbers 126, 770, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.