Online GCD Calculator is useful to find the GCD of 748, 649, 261, 270 quickly. Get the easiest ways to solve the greatest common divisor of 748, 649, 261, 270 i.e 1 in different methods as follows.
Given Input numbers are 748, 649, 261, 270
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (748, 649, 261, 270) = 1.
Given numbers are 748, 649, 261, 270
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 649 are 11 x 59
Prime factors of 261 are 3 x 3 x 29
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 649, 261, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 649) = 44132
GCD(748, 649) = ( 748 x 649 ) / 44132
= 748 / 649
= 748
Step2:
LCM(11, 261) = 2871
GCD(11, 261) = ( 11 x 261 ) / 2871
= 11 / 261
= 11
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 748, 649, 261, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 649, 261, 270
The greatest common divisor of numbers 748, 649, 261, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 649, 261, 270 is 1.
1. What is the GCD of 748, 649, 261, 270?
GCD of given numbers 748, 649, 261, 270 is 1
2. How to calculate the greatest common divisor of 748, 649, 261, 270?
We can find the highest common divisor of 748, 649, 261, 270 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, 649, 261, 270 i.e 1.
3. How can I use the GCD of 748, 649, 261, 270Calculator?
Out the numbers 748, 649, 261, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.