Online GCD Calculator is useful to find the GCD of 540, 484, 298, 157 quickly. Get the easiest ways to solve the greatest common divisor of 540, 484, 298, 157 i.e 1 in different methods as follows.
Given Input numbers are 540, 484, 298, 157
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
GCD of numbers is the greatest common divisor
So, the GCD (540, 484, 298, 157) = 1.
Given numbers are 540, 484, 298, 157
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 484 are 2 x 2 x 11 x 11
Prime factors of 298 are 2 x 149
Prime factors of 157 are 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 540, 484, 298, 157
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 484) = 65340
GCD(540, 484) = ( 540 x 484 ) / 65340
= 540 / 484
= 540
Step2:
LCM(4, 298) = 596
GCD(4, 298) = ( 4 x 298 ) / 596
= 4 / 298
= 4
Step3:
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
= 2 / 157
= 2
So, Greatest Common Divisor of 540, 484, 298, 157 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 484, 298, 157
The greatest common divisor of numbers 540, 484, 298, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 484, 298, 157 is 1.
1. What is the GCD of 540, 484, 298, 157?
GCD of given numbers 540, 484, 298, 157 is 1
2. How to calculate the greatest common divisor of 540, 484, 298, 157?
We can find the highest common divisor of 540, 484, 298, 157 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, 484, 298, 157 i.e 1.
3. How can I use the GCD of 540, 484, 298, 157Calculator?
Out the numbers 540, 484, 298, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.