Online GCD Calculator is useful to find the GCD of 748, 136, 501, 138 quickly. Get the easiest ways to solve the greatest common divisor of 748, 136, 501, 138 i.e 1 in different methods as follows.
Given Input numbers are 748, 136, 501, 138
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (748, 136, 501, 138) = 1.
Given numbers are 748, 136, 501, 138
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 501 are 3 x 167
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 136, 501, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 136) = 1496
GCD(748, 136) = ( 748 x 136 ) / 1496
= 748 / 136
= 748
Step2:
LCM(68, 501) = 34068
GCD(68, 501) = ( 68 x 501 ) / 34068
= 68 / 501
= 68
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 748, 136, 501, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 136, 501, 138
The greatest common divisor of numbers 748, 136, 501, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 136, 501, 138 is 1.
1. What is the GCD of 748, 136, 501, 138?
GCD of given numbers 748, 136, 501, 138 is 1
2. How to calculate the greatest common divisor of 748, 136, 501, 138?
We can find the highest common divisor of 748, 136, 501, 138 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, 136, 501, 138 i.e 1.
3. How can I use the GCD of 748, 136, 501, 138Calculator?
Out the numbers 748, 136, 501, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.