Online GCD Calculator is useful to find the GCD of 874, 756, 378, 800 quickly. Get the easiest ways to solve the greatest common divisor of 874, 756, 378, 800 i.e 2 in different methods as follows.
Given Input numbers are 874, 756, 378, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
GCD of numbers is the greatest common divisor
So, the GCD (874, 756, 378, 800) = 2.
Given numbers are 874, 756, 378, 800
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 874, 756, 378, 800 is 2.
Given numbers are 874, 756, 378, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 756) = 330372
GCD(874, 756) = ( 874 x 756 ) / 330372
= 874 / 756
= 874
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 800) = 800
GCD(2, 800) = ( 2 x 800 ) / 800
= 2 / 800
= 2
So, Greatest Common Divisor of 874, 756, 378, 800 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 756, 378, 800
The greatest common divisor of numbers 874, 756, 378, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 756, 378, 800 is 2.
1. What is the GCD of 874, 756, 378, 800?
GCD of given numbers 874, 756, 378, 800 is 2
2. How to calculate the greatest common divisor of 874, 756, 378, 800?
We can find the highest common divisor of 874, 756, 378, 800 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 874, 756, 378, 800 i.e 2.
3. How can I use the GCD of 874, 756, 378, 800Calculator?
Out the numbers 874, 756, 378, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.