Online GCD Calculator is useful to find the GCD of 748, 969, 869, 913 quickly. Get the easiest ways to solve the greatest common divisor of 748, 969, 869, 913 i.e 1 in different methods as follows.
Given Input numbers are 748, 969, 869, 913
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 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 869 :
The positive integer divisors of 869 that completely divides 869 are.
1, 11, 79, 869
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
GCD of numbers is the greatest common divisor
So, the GCD (748, 969, 869, 913) = 1.
Given numbers are 748, 969, 869, 913
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 969 are 3 x 17 x 19
Prime factors of 869 are 11 x 79
Prime factors of 913 are 11 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 969, 869, 913
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 969) = 42636
GCD(748, 969) = ( 748 x 969 ) / 42636
= 748 / 969
= 748
Step2:
LCM(17, 869) = 14773
GCD(17, 869) = ( 17 x 869 ) / 14773
= 17 / 869
= 17
Step3:
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
= 1 / 913
= 1
So, Greatest Common Divisor of 748, 969, 869, 913 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 969, 869, 913
The greatest common divisor of numbers 748, 969, 869, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 969, 869, 913 is 1.
1. What is the GCD of 748, 969, 869, 913?
GCD of given numbers 748, 969, 869, 913 is 1
2. How to calculate the greatest common divisor of 748, 969, 869, 913?
We can find the highest common divisor of 748, 969, 869, 913 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, 969, 869, 913 i.e 1.
3. How can I use the GCD of 748, 969, 869, 913Calculator?
Out the numbers 748, 969, 869, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.