Online GCD Calculator is useful to find the GCD of 748, 537, 260, 693 quickly. Get the easiest ways to solve the greatest common divisor of 748, 537, 260, 693 i.e 1 in different methods as follows.
Given Input numbers are 748, 537, 260, 693
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 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (748, 537, 260, 693) = 1.
Given numbers are 748, 537, 260, 693
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 537 are 3 x 179
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 693 are 3 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 537, 260, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 537) = 401676
GCD(748, 537) = ( 748 x 537 ) / 401676
= 748 / 537
= 748
Step2:
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
= 1 / 260
= 1
Step3:
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
= 1 / 693
= 1
So, Greatest Common Divisor of 748, 537, 260, 693 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 537, 260, 693
The greatest common divisor of numbers 748, 537, 260, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 537, 260, 693 is 1.
1. What is the GCD of 748, 537, 260, 693?
GCD of given numbers 748, 537, 260, 693 is 1
2. How to calculate the greatest common divisor of 748, 537, 260, 693?
We can find the highest common divisor of 748, 537, 260, 693 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, 537, 260, 693 i.e 1.
3. How can I use the GCD of 748, 537, 260, 693Calculator?
Out the numbers 748, 537, 260, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.