Online GCD Calculator is useful to find the GCD of 540, 772, 748, 141 quickly. Get the easiest ways to solve the greatest common divisor of 540, 772, 748, 141 i.e 1 in different methods as follows.
Given Input numbers are 540, 772, 748, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
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 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (540, 772, 748, 141) = 1.
Given numbers are 540, 772, 748, 141
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 772 are 2 x 2 x 193
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 141 are 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 540, 772, 748, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 772) = 104220
GCD(540, 772) = ( 540 x 772 ) / 104220
= 540 / 772
= 540
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 141) = 564
GCD(4, 141) = ( 4 x 141 ) / 564
= 4 / 141
= 4
So, Greatest Common Divisor of 540, 772, 748, 141 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 772, 748, 141
The greatest common divisor of numbers 540, 772, 748, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 772, 748, 141 is 1.
1. What is the GCD of 540, 772, 748, 141?
GCD of given numbers 540, 772, 748, 141 is 1
2. How to calculate the greatest common divisor of 540, 772, 748, 141?
We can find the highest common divisor of 540, 772, 748, 141 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 540, 772, 748, 141 i.e 1.
3. How can I use the GCD of 540, 772, 748, 141Calculator?
Out the numbers 540, 772, 748, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.