Online GCD Calculator is useful to find the GCD of 760, 975, 48, 849 quickly. Get the easiest ways to solve the greatest common divisor of 760, 975, 48, 849 i.e 1 in different methods as follows.
Given Input numbers are 760, 975, 48, 849
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
GCD of numbers is the greatest common divisor
So, the GCD (760, 975, 48, 849) = 1.
Given numbers are 760, 975, 48, 849
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
Prime factors of 849 are 3 x 283
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 760, 975, 48, 849
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 975) = 148200
GCD(760, 975) = ( 760 x 975 ) / 148200
= 760 / 975
= 760
Step2:
LCM(5, 48) = 240
GCD(5, 48) = ( 5 x 48 ) / 240
= 5 / 48
= 5
Step3:
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
= 1 / 849
= 1
So, Greatest Common Divisor of 760, 975, 48, 849 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 975, 48, 849
The greatest common divisor of numbers 760, 975, 48, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 975, 48, 849 is 1.
1. What is the GCD of 760, 975, 48, 849?
GCD of given numbers 760, 975, 48, 849 is 1
2. How to calculate the greatest common divisor of 760, 975, 48, 849?
We can find the highest common divisor of 760, 975, 48, 849 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 760, 975, 48, 849 i.e 1.
3. How can I use the GCD of 760, 975, 48, 849Calculator?
Out the numbers 760, 975, 48, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.