Online GCD Calculator is useful to find the GCD of 874, 856, 698, 920 quickly. Get the easiest ways to solve the greatest common divisor of 874, 856, 698, 920 i.e 2 in different methods as follows.
Given Input numbers are 874, 856, 698, 920
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 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (874, 856, 698, 920) = 2.
Given numbers are 874, 856, 698, 920
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 698 are 2 x 349
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 874, 856, 698, 920 is 2.
Given numbers are 874, 856, 698, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 856) = 374072
GCD(874, 856) = ( 874 x 856 ) / 374072
= 874 / 856
= 874
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
= 2 / 920
= 2
So, Greatest Common Divisor of 874, 856, 698, 920 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 856, 698, 920
The greatest common divisor of numbers 874, 856, 698, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 856, 698, 920 is 2.
1. What is the GCD of 874, 856, 698, 920?
GCD of given numbers 874, 856, 698, 920 is 2
2. How to calculate the greatest common divisor of 874, 856, 698, 920?
We can find the highest common divisor of 874, 856, 698, 920 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, 856, 698, 920 i.e 2.
3. How can I use the GCD of 874, 856, 698, 920Calculator?
Out the numbers 874, 856, 698, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.