Online GCD Calculator is useful to find the GCD of 413, 476, 238, 140 quickly. Get the easiest ways to solve the greatest common divisor of 413, 476, 238, 140 i.e 7 in different methods as follows.
Given Input numbers are 413, 476, 238, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (413, 476, 238, 140) = 7.
Given numbers are 413, 476, 238, 140
The list of prime factors of all numbers are
Prime factors of 413 are 7 x 59
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 238 are 2 x 7 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 413, 476, 238, 140 is 7.
Given numbers are 413, 476, 238, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(413, 476) = 28084
GCD(413, 476) = ( 413 x 476 ) / 28084
= 413 / 476
= 413
Step2:
LCM(7, 238) = 238
GCD(7, 238) = ( 7 x 238 ) / 238
= 7 / 238
= 7
Step3:
LCM(7, 140) = 140
GCD(7, 140) = ( 7 x 140 ) / 140
= 7 / 140
= 7
So, Greatest Common Divisor of 413, 476, 238, 140 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 413, 476, 238, 140
The greatest common divisor of numbers 413, 476, 238, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 476, 238, 140 is 7.
1. What is the GCD of 413, 476, 238, 140?
GCD of given numbers 413, 476, 238, 140 is 7
2. How to calculate the greatest common divisor of 413, 476, 238, 140?
We can find the highest common divisor of 413, 476, 238, 140 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 413, 476, 238, 140 i.e 7.
3. How can I use the GCD of 413, 476, 238, 140Calculator?
Out the numbers 413, 476, 238, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.