Online GCD Calculator is useful to find the GCD of 748, 138, 220, 567 quickly. Get the easiest ways to solve the greatest common divisor of 748, 138, 220, 567 i.e 1 in different methods as follows.
Given Input numbers are 748, 138, 220, 567
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (748, 138, 220, 567) = 1.
Given numbers are 748, 138, 220, 567
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 138 are 2 x 3 x 23
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 138, 220, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 138) = 51612
GCD(748, 138) = ( 748 x 138 ) / 51612
= 748 / 138
= 748
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 567) = 1134
GCD(2, 567) = ( 2 x 567 ) / 1134
= 2 / 567
= 2
So, Greatest Common Divisor of 748, 138, 220, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 138, 220, 567
The greatest common divisor of numbers 748, 138, 220, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 138, 220, 567 is 1.
1. What is the GCD of 748, 138, 220, 567?
GCD of given numbers 748, 138, 220, 567 is 1
2. How to calculate the greatest common divisor of 748, 138, 220, 567?
We can find the highest common divisor of 748, 138, 220, 567 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, 138, 220, 567 i.e 1.
3. How can I use the GCD of 748, 138, 220, 567Calculator?
Out the numbers 748, 138, 220, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.