Online GCD Calculator is useful to find the GCD of 800, 275, 374, 548 quickly. Get the easiest ways to solve the greatest common divisor of 800, 275, 374, 548 i.e 1 in different methods as follows.
Given Input numbers are 800, 275, 374, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (800, 275, 374, 548) = 1.
Given numbers are 800, 275, 374, 548
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 275 are 5 x 5 x 11
Prime factors of 374 are 2 x 11 x 17
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 800, 275, 374, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 275) = 8800
GCD(800, 275) = ( 800 x 275 ) / 8800
= 800 / 275
= 800
Step2:
LCM(25, 374) = 9350
GCD(25, 374) = ( 25 x 374 ) / 9350
= 25 / 374
= 25
Step3:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
So, Greatest Common Divisor of 800, 275, 374, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 275, 374, 548
The greatest common divisor of numbers 800, 275, 374, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 275, 374, 548 is 1.
1. What is the GCD of 800, 275, 374, 548?
GCD of given numbers 800, 275, 374, 548 is 1
2. How to calculate the greatest common divisor of 800, 275, 374, 548?
We can find the highest common divisor of 800, 275, 374, 548 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 800, 275, 374, 548 i.e 1.
3. How can I use the GCD of 800, 275, 374, 548Calculator?
Out the numbers 800, 275, 374, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.