GCD of 976, 986, 149 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 976, 986, 149 quickly. Get the easiest ways to solve the greatest common divisor of 976, 986, 149 i.e 1 in different methods as follows.
Given Input numbers are 976, 986, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (976, 986, 149) = 1.
Given numbers are 976, 986, 149
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 986 are 2 x 17 x 29
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 976, 986, 149 using LCM Formula
Given numbers are 976, 986, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 986) = 481168
GCD(976, 986) = ( 976 x 986 ) / 481168
= 976 / 986
= 976
Step2:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
So, Greatest Common Divisor of 976, 986, 149 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 976, 986, 149
Given numbers are 976, 986, 149
The greatest common divisor of numbers 976, 986, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 986, 149 is 1.
FAQs on GCD of 976, 986, 149 Calculator
1. What is the GCD of 976, 986, 149?
GCD of given numbers 976, 986, 149 is 1
2. How to calculate the greatest common divisor of 976, 986, 149?
We can find the highest common divisor of 976, 986, 149 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 976, 986, 149 i.e 1.
3. How can I use the GCD of 976, 986, 149Calculator?
Out the numbers 976, 986, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.