Online GCD Calculator is useful to find the GCD of 700, 676, 288, 558 quickly. Get the easiest ways to solve the greatest common divisor of 700, 676, 288, 558 i.e 2 in different methods as follows.
Given Input numbers are 700, 676, 288, 558
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (700, 676, 288, 558) = 2.
Given numbers are 700, 676, 288, 558
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 700, 676, 288, 558 is 2.
Given numbers are 700, 676, 288, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 676) = 118300
GCD(700, 676) = ( 700 x 676 ) / 118300
= 700 / 676
= 700
Step2:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
Step3:
LCM(4, 558) = 1116
GCD(4, 558) = ( 4 x 558 ) / 1116
= 4 / 558
= 4
So, Greatest Common Divisor of 700, 676, 288, 558 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 676, 288, 558
The greatest common divisor of numbers 700, 676, 288, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 676, 288, 558 is 2.
1. What is the GCD of 700, 676, 288, 558?
GCD of given numbers 700, 676, 288, 558 is 2
2. How to calculate the greatest common divisor of 700, 676, 288, 558?
We can find the highest common divisor of 700, 676, 288, 558 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 700, 676, 288, 558 i.e 2.
3. How can I use the GCD of 700, 676, 288, 558Calculator?
Out the numbers 700, 676, 288, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.