GCD of 749, 977, 363, 667 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 749, 977, 363, 667 quickly. Get the easiest ways to solve the greatest common divisor of 749, 977, 363, 667 i.e 1 in different methods as follows.
Given Input numbers are 749, 977, 363, 667
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 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 667 :
The positive integer divisors of 667 that completely divides 667 are.
1, 23, 29, 667
GCD of numbers is the greatest common divisor
So, the GCD (749, 977, 363, 667) = 1.
Given numbers are 749, 977, 363, 667
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 977 are 977
Prime factors of 363 are 3 x 11 x 11
Prime factors of 667 are 23 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 749, 977, 363, 667 using LCM Formula
Given numbers are 749, 977, 363, 667
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 977) = 731773
GCD(749, 977) = ( 749 x 977 ) / 731773
= 749 / 977
= 749
Step2:
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
= 1 / 363
= 1
Step3:
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
= 1 / 667
= 1
So, Greatest Common Divisor of 749, 977, 363, 667 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 749, 977, 363, 667
Given numbers are 749, 977, 363, 667
The greatest common divisor of numbers 749, 977, 363, 667 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 977, 363, 667 is 1.
FAQs on GCD of 749, 977, 363, 667 Calculator
1. What is the GCD of 749, 977, 363, 667?
GCD of given numbers 749, 977, 363, 667 is 1
2. How to calculate the greatest common divisor of 749, 977, 363, 667?
We can find the highest common divisor of 749, 977, 363, 667 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, 977, 363, 667 i.e 1.
3. How can I use the GCD of 749, 977, 363, 667Calculator?
Out the numbers 749, 977, 363, 667 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.