Online GCD Calculator is useful to find the GCD of 140, 164, 476, 484 quickly. Get the easiest ways to solve the greatest common divisor of 140, 164, 476, 484 i.e 4 in different methods as follows.
Given Input numbers are 140, 164, 476, 484
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (140, 164, 476, 484) = 4.
Given numbers are 140, 164, 476, 484
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 164 are 2 x 2 x 41
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 22
Therefore, GCD of 140, 164, 476, 484 is 4.
Given numbers are 140, 164, 476, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 164) = 5740
GCD(140, 164) = ( 140 x 164 ) / 5740
= 140 / 164
= 140
Step2:
LCM(4, 476) = 476
GCD(4, 476) = ( 4 x 476 ) / 476
= 4 / 476
= 4
Step3:
LCM(4, 484) = 484
GCD(4, 484) = ( 4 x 484 ) / 484
= 4 / 484
= 4
So, Greatest Common Divisor of 140, 164, 476, 484 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 164, 476, 484
The greatest common divisor of numbers 140, 164, 476, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 164, 476, 484 is 4.
1. What is the GCD of 140, 164, 476, 484?
GCD of given numbers 140, 164, 476, 484 is 4
2. How to calculate the greatest common divisor of 140, 164, 476, 484?
We can find the highest common divisor of 140, 164, 476, 484 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 140, 164, 476, 484 i.e 4.
3. How can I use the GCD of 140, 164, 476, 484Calculator?
Out the numbers 140, 164, 476, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.