GCD of 749, 687, 916 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 749, 687, 916 quickly. Get the easiest ways to solve the greatest common divisor of 749, 687, 916 i.e 1 in different methods as follows.
Given Input numbers are 749, 687, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (749, 687, 916) = 1.
Given numbers are 749, 687, 916
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 687 are 3 x 229
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 749, 687, 916 using LCM Formula
Given numbers are 749, 687, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 687) = 514563
GCD(749, 687) = ( 749 x 687 ) / 514563
= 749 / 687
= 749
Step2:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 749, 687, 916 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 749, 687, 916
Given numbers are 749, 687, 916
The greatest common divisor of numbers 749, 687, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 687, 916 is 1.
FAQs on GCD of 749, 687, 916 Calculator
1. What is the GCD of 749, 687, 916?
GCD of given numbers 749, 687, 916 is 1
2. How to calculate the greatest common divisor of 749, 687, 916?
We can find the highest common divisor of 749, 687, 916 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 749, 687, 916 i.e 1.
3. How can I use the GCD of 749, 687, 916Calculator?
Out the numbers 749, 687, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.