Online GCD Calculator is useful to find the GCD of 474, 272, 778, 836 quickly. Get the easiest ways to solve the greatest common divisor of 474, 272, 778, 836 i.e 2 in different methods as follows.
Given Input numbers are 474, 272, 778, 836
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
GCD of numbers is the greatest common divisor
So, the GCD (474, 272, 778, 836) = 2.
Given numbers are 474, 272, 778, 836
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 778 are 2 x 389
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 21
Therefore, GCD of 474, 272, 778, 836 is 2.
Given numbers are 474, 272, 778, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 272) = 64464
GCD(474, 272) = ( 474 x 272 ) / 64464
= 474 / 272
= 474
Step2:
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
= 2 / 778
= 2
Step3:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
So, Greatest Common Divisor of 474, 272, 778, 836 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 474, 272, 778, 836
The greatest common divisor of numbers 474, 272, 778, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 272, 778, 836 is 2.
1. What is the GCD of 474, 272, 778, 836?
GCD of given numbers 474, 272, 778, 836 is 2
2. How to calculate the greatest common divisor of 474, 272, 778, 836?
We can find the highest common divisor of 474, 272, 778, 836 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 474, 272, 778, 836 i.e 2.
3. How can I use the GCD of 474, 272, 778, 836Calculator?
Out the numbers 474, 272, 778, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.