GCD of 380, 725, 149, 892 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 380, 725, 149, 892 quickly. Get the easiest ways to solve the greatest common divisor of 380, 725, 149, 892 i.e 1 in different methods as follows.
Given Input numbers are 380, 725, 149, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (380, 725, 149, 892) = 1.
Given numbers are 380, 725, 149, 892
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 725 are 5 x 5 x 29
Prime factors of 149 are 149
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 380, 725, 149, 892 using LCM Formula
Given numbers are 380, 725, 149, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 725) = 55100
GCD(380, 725) = ( 380 x 725 ) / 55100
= 380 / 725
= 380
Step2:
LCM(5, 149) = 745
GCD(5, 149) = ( 5 x 149 ) / 745
= 5 / 149
= 5
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 380, 725, 149, 892 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 380, 725, 149, 892
Given numbers are 380, 725, 149, 892
The greatest common divisor of numbers 380, 725, 149, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 725, 149, 892 is 1.
FAQs on GCD of 380, 725, 149, 892 Calculator
1. What is the GCD of 380, 725, 149, 892?
GCD of given numbers 380, 725, 149, 892 is 1
2. How to calculate the greatest common divisor of 380, 725, 149, 892?
We can find the highest common divisor of 380, 725, 149, 892 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 380, 725, 149, 892 i.e 1.
3. How can I use the GCD of 380, 725, 149, 892Calculator?
Out the numbers 380, 725, 149, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.