Online GCD Calculator is useful to find the GCD of 208, 874, 130, 688 quickly. Get the easiest ways to solve the greatest common divisor of 208, 874, 130, 688 i.e 2 in different methods as follows.
Given Input numbers are 208, 874, 130, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (208, 874, 130, 688) = 2.
Given numbers are 208, 874, 130, 688
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 874 are 2 x 19 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 208, 874, 130, 688 is 2.
Given numbers are 208, 874, 130, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 874) = 90896
GCD(208, 874) = ( 208 x 874 ) / 90896
= 208 / 874
= 208
Step2:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 208, 874, 130, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 874, 130, 688
The greatest common divisor of numbers 208, 874, 130, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 874, 130, 688 is 2.
1. What is the GCD of 208, 874, 130, 688?
GCD of given numbers 208, 874, 130, 688 is 2
2. How to calculate the greatest common divisor of 208, 874, 130, 688?
We can find the highest common divisor of 208, 874, 130, 688 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 208, 874, 130, 688 i.e 2.
3. How can I use the GCD of 208, 874, 130, 688Calculator?
Out the numbers 208, 874, 130, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.