Online GCD Calculator is useful to find the GCD of 452, 830, 972, 490 quickly. Get the easiest ways to solve the greatest common divisor of 452, 830, 972, 490 i.e 2 in different methods as follows.
Given Input numbers are 452, 830, 972, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (452, 830, 972, 490) = 2.
Given numbers are 452, 830, 972, 490
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 830 are 2 x 5 x 83
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 452, 830, 972, 490 is 2.
Given numbers are 452, 830, 972, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 830) = 187580
GCD(452, 830) = ( 452 x 830 ) / 187580
= 452 / 830
= 452
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 452, 830, 972, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 830, 972, 490
The greatest common divisor of numbers 452, 830, 972, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 830, 972, 490 is 2.
1. What is the GCD of 452, 830, 972, 490?
GCD of given numbers 452, 830, 972, 490 is 2
2. How to calculate the greatest common divisor of 452, 830, 972, 490?
We can find the highest common divisor of 452, 830, 972, 490 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 452, 830, 972, 490 i.e 2.
3. How can I use the GCD of 452, 830, 972, 490Calculator?
Out the numbers 452, 830, 972, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.