Online GCD Calculator is useful to find the GCD of 292, 632, 476, 300 quickly. Get the easiest ways to solve the greatest common divisor of 292, 632, 476, 300 i.e 4 in different methods as follows.
Given Input numbers are 292, 632, 476, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (292, 632, 476, 300) = 4.
Given numbers are 292, 632, 476, 300
The list of prime factors of all numbers are
Prime factors of 292 are 2 x 2 x 73
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 292, 632, 476, 300 is 4.
Given numbers are 292, 632, 476, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(292, 632) = 46136
GCD(292, 632) = ( 292 x 632 ) / 46136
= 292 / 632
= 292
Step2:
LCM(4, 476) = 476
GCD(4, 476) = ( 4 x 476 ) / 476
= 4 / 476
= 4
Step3:
LCM(4, 300) = 300
GCD(4, 300) = ( 4 x 300 ) / 300
= 4 / 300
= 4
So, Greatest Common Divisor of 292, 632, 476, 300 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 292, 632, 476, 300
The greatest common divisor of numbers 292, 632, 476, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 292, 632, 476, 300 is 4.
1. What is the GCD of 292, 632, 476, 300?
GCD of given numbers 292, 632, 476, 300 is 4
2. How to calculate the greatest common divisor of 292, 632, 476, 300?
We can find the highest common divisor of 292, 632, 476, 300 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 292, 632, 476, 300 i.e 4.
3. How can I use the GCD of 292, 632, 476, 300Calculator?
Out the numbers 292, 632, 476, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.