GCD of 150, 780, 949 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 150, 780, 949 quickly. Get the easiest ways to solve the greatest common divisor of 150, 780, 949 i.e 1 in different methods as follows.
Given Input numbers are 150, 780, 949
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
GCD of numbers is the greatest common divisor
So, the GCD (150, 780, 949) = 1.
Given numbers are 150, 780, 949
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 949 are 13 x 73
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 150, 780, 949 using LCM Formula
Given numbers are 150, 780, 949
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 780) = 3900
GCD(150, 780) = ( 150 x 780 ) / 3900
= 150 / 780
= 150
Step2:
LCM(30, 949) = 28470
GCD(30, 949) = ( 30 x 949 ) / 28470
= 30 / 949
= 30
So, Greatest Common Divisor of 150, 780, 949 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 150, 780, 949
Given numbers are 150, 780, 949
The greatest common divisor of numbers 150, 780, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 780, 949 is 1.
FAQs on GCD of 150, 780, 949 Calculator
1. What is the GCD of 150, 780, 949?
GCD of given numbers 150, 780, 949 is 1
2. How to calculate the greatest common divisor of 150, 780, 949?
We can find the highest common divisor of 150, 780, 949 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 150, 780, 949 i.e 1.
3. How can I use the GCD of 150, 780, 949Calculator?
Out the numbers 150, 780, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.