Online GCD Calculator is useful to find the GCD of 698, 684, 526, 284 quickly. Get the easiest ways to solve the greatest common divisor of 698, 684, 526, 284 i.e 2 in different methods as follows.
Given Input numbers are 698, 684, 526, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (698, 684, 526, 284) = 2.
Given numbers are 698, 684, 526, 284
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 526 are 2 x 263
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 698, 684, 526, 284 is 2.
Given numbers are 698, 684, 526, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 684) = 238716
GCD(698, 684) = ( 698 x 684 ) / 238716
= 698 / 684
= 698
Step2:
LCM(2, 526) = 526
GCD(2, 526) = ( 2 x 526 ) / 526
= 2 / 526
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 698, 684, 526, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 684, 526, 284
The greatest common divisor of numbers 698, 684, 526, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 684, 526, 284 is 2.
1. What is the GCD of 698, 684, 526, 284?
GCD of given numbers 698, 684, 526, 284 is 2
2. How to calculate the greatest common divisor of 698, 684, 526, 284?
We can find the highest common divisor of 698, 684, 526, 284 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 698, 684, 526, 284 i.e 2.
3. How can I use the GCD of 698, 684, 526, 284Calculator?
Out the numbers 698, 684, 526, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.