Online GCD Calculator is useful to find the GCD of 249, 540, 736, 962 quickly. Get the easiest ways to solve the greatest common divisor of 249, 540, 736, 962 i.e 1 in different methods as follows.
Given Input numbers are 249, 540, 736, 962
In the factoring method, we have to find the divisors of all numbers
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
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 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (249, 540, 736, 962) = 1.
Given numbers are 249, 540, 736, 962
The list of prime factors of all numbers are
Prime factors of 249 are 3 x 83
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 962 are 2 x 13 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 249, 540, 736, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(249, 540) = 44820
GCD(249, 540) = ( 249 x 540 ) / 44820
= 249 / 540
= 249
Step2:
LCM(3, 736) = 2208
GCD(3, 736) = ( 3 x 736 ) / 2208
= 3 / 736
= 3
Step3:
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
= 1 / 962
= 1
So, Greatest Common Divisor of 249, 540, 736, 962 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 249, 540, 736, 962
The greatest common divisor of numbers 249, 540, 736, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 540, 736, 962 is 1.
1. What is the GCD of 249, 540, 736, 962?
GCD of given numbers 249, 540, 736, 962 is 1
2. How to calculate the greatest common divisor of 249, 540, 736, 962?
We can find the highest common divisor of 249, 540, 736, 962 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 249, 540, 736, 962 i.e 1.
3. How can I use the GCD of 249, 540, 736, 962Calculator?
Out the numbers 249, 540, 736, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.