Online GCD Calculator is useful to find the GCD of 748, 149, 775, 687 quickly. Get the easiest ways to solve the greatest common divisor of 748, 149, 775, 687 i.e 1 in different methods as follows.
Given Input numbers are 748, 149, 775, 687
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (748, 149, 775, 687) = 1.
Given numbers are 748, 149, 775, 687
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 149 are 149
Prime factors of 775 are 5 x 5 x 31
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 149, 775, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 149) = 111452
GCD(748, 149) = ( 748 x 149 ) / 111452
= 748 / 149
= 748
Step2:
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
= 1 / 775
= 1
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 748, 149, 775, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 149, 775, 687
The greatest common divisor of numbers 748, 149, 775, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 149, 775, 687 is 1.
1. What is the GCD of 748, 149, 775, 687?
GCD of given numbers 748, 149, 775, 687 is 1
2. How to calculate the greatest common divisor of 748, 149, 775, 687?
We can find the highest common divisor of 748, 149, 775, 687 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 748, 149, 775, 687 i.e 1.
3. How can I use the GCD of 748, 149, 775, 687Calculator?
Out the numbers 748, 149, 775, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.