Online GCD Calculator is useful to find the GCD of 202, 638, 672, 310 quickly. Get the easiest ways to solve the greatest common divisor of 202, 638, 672, 310 i.e 2 in different methods as follows.
Given Input numbers are 202, 638, 672, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (202, 638, 672, 310) = 2.
Given numbers are 202, 638, 672, 310
The list of prime factors of all numbers are
Prime factors of 202 are 2 x 101
Prime factors of 638 are 2 x 11 x 29
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21
Therefore, GCD of 202, 638, 672, 310 is 2.
Given numbers are 202, 638, 672, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(202, 638) = 64438
GCD(202, 638) = ( 202 x 638 ) / 64438
= 202 / 638
= 202
Step2:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
Step3:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
So, Greatest Common Divisor of 202, 638, 672, 310 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 202, 638, 672, 310
The greatest common divisor of numbers 202, 638, 672, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 638, 672, 310 is 2.
1. What is the GCD of 202, 638, 672, 310?
GCD of given numbers 202, 638, 672, 310 is 2
2. How to calculate the greatest common divisor of 202, 638, 672, 310?
We can find the highest common divisor of 202, 638, 672, 310 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 202, 638, 672, 310 i.e 2.
3. How can I use the GCD of 202, 638, 672, 310Calculator?
Out the numbers 202, 638, 672, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.