Online GCD Calculator is useful to find the GCD of 676, 874, 932, 200 quickly. Get the easiest ways to solve the greatest common divisor of 676, 874, 932, 200 i.e 2 in different methods as follows.
Given Input numbers are 676, 874, 932, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (676, 874, 932, 200) = 2.
Given numbers are 676, 874, 932, 200
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 874 are 2 x 19 x 23
Prime factors of 932 are 2 x 2 x 233
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 676, 874, 932, 200 is 2.
Given numbers are 676, 874, 932, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 874) = 295412
GCD(676, 874) = ( 676 x 874 ) / 295412
= 676 / 874
= 676
Step2:
LCM(2, 932) = 932
GCD(2, 932) = ( 2 x 932 ) / 932
= 2 / 932
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 676, 874, 932, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 874, 932, 200
The greatest common divisor of numbers 676, 874, 932, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 874, 932, 200 is 2.
1. What is the GCD of 676, 874, 932, 200?
GCD of given numbers 676, 874, 932, 200 is 2
2. How to calculate the greatest common divisor of 676, 874, 932, 200?
We can find the highest common divisor of 676, 874, 932, 200 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 676, 874, 932, 200 i.e 2.
3. How can I use the GCD of 676, 874, 932, 200Calculator?
Out the numbers 676, 874, 932, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.