GCD of 747, 138, 725, 767 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 747, 138, 725, 767 quickly. Get the easiest ways to solve the greatest common divisor of 747, 138, 725, 767 i.e 1 in different methods as follows.
Given Input numbers are 747, 138, 725, 767
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
GCD of numbers is the greatest common divisor
So, the GCD (747, 138, 725, 767) = 1.
Given numbers are 747, 138, 725, 767
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 138 are 2 x 3 x 23
Prime factors of 725 are 5 x 5 x 29
Prime factors of 767 are 13 x 59
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 747, 138, 725, 767 using LCM Formula
Given numbers are 747, 138, 725, 767
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 138) = 34362
GCD(747, 138) = ( 747 x 138 ) / 34362
= 747 / 138
= 747
Step2:
LCM(3, 725) = 2175
GCD(3, 725) = ( 3 x 725 ) / 2175
= 3 / 725
= 3
Step3:
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
= 1 / 767
= 1
So, Greatest Common Divisor of 747, 138, 725, 767 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 747, 138, 725, 767
Given numbers are 747, 138, 725, 767
The greatest common divisor of numbers 747, 138, 725, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 138, 725, 767 is 1.
FAQs on GCD of 747, 138, 725, 767 Calculator
1. What is the GCD of 747, 138, 725, 767?
GCD of given numbers 747, 138, 725, 767 is 1
2. How to calculate the greatest common divisor of 747, 138, 725, 767?
We can find the highest common divisor of 747, 138, 725, 767 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 747, 138, 725, 767 i.e 1.
3. How can I use the GCD of 747, 138, 725, 767Calculator?
Out the numbers 747, 138, 725, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.