GCD of 991, 649, 59, 748 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 991, 649, 59, 748 quickly. Get the easiest ways to solve the greatest common divisor of 991, 649, 59, 748 i.e 1 in different methods as follows.
Given Input numbers are 991, 649, 59, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 59 :
The positive integer divisors of 59 that completely divides 59 are.
1, 59
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (991, 649, 59, 748) = 1.
Given numbers are 991, 649, 59, 748
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 649 are 11 x 59
Prime factors of 59 are 59
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 991, 649, 59, 748 using LCM Formula
Given numbers are 991, 649, 59, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 649) = 643159
GCD(991, 649) = ( 991 x 649 ) / 643159
= 991 / 649
= 991
Step2:
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
= 1 / 59
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 991, 649, 59, 748 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 991, 649, 59, 748
Given numbers are 991, 649, 59, 748
The greatest common divisor of numbers 991, 649, 59, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 649, 59, 748 is 1.
FAQs on GCD of 991, 649, 59, 748 Calculator
1. What is the GCD of 991, 649, 59, 748?
GCD of given numbers 991, 649, 59, 748 is 1
2. How to calculate the greatest common divisor of 991, 649, 59, 748?
We can find the highest common divisor of 991, 649, 59, 748 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 991, 649, 59, 748 i.e 1.
3. How can I use the GCD of 991, 649, 59, 748Calculator?
Out the numbers 991, 649, 59, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.