Online GCD Calculator is useful to find the GCD of 472, 118, 502, 676 quickly. Get the easiest ways to solve the greatest common divisor of 472, 118, 502, 676 i.e 2 in different methods as follows.
Given Input numbers are 472, 118, 502, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (472, 118, 502, 676) = 2.
Given numbers are 472, 118, 502, 676
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 118 are 2 x 59
Prime factors of 502 are 2 x 251
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 472, 118, 502, 676 is 2.
Given numbers are 472, 118, 502, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 118) = 472
GCD(472, 118) = ( 472 x 118 ) / 472
= 472 / 118
= 472
Step2:
LCM(118, 502) = 29618
GCD(118, 502) = ( 118 x 502 ) / 29618
= 118 / 502
= 118
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 472, 118, 502, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 118, 502, 676
The greatest common divisor of numbers 472, 118, 502, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 118, 502, 676 is 2.
1. What is the GCD of 472, 118, 502, 676?
GCD of given numbers 472, 118, 502, 676 is 2
2. How to calculate the greatest common divisor of 472, 118, 502, 676?
We can find the highest common divisor of 472, 118, 502, 676 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 472, 118, 502, 676 i.e 2.
3. How can I use the GCD of 472, 118, 502, 676Calculator?
Out the numbers 472, 118, 502, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.