Online GCD Calculator is useful to find the GCD of 988, 572, 974, 448 quickly. Get the easiest ways to solve the greatest common divisor of 988, 572, 974, 448 i.e 2 in different methods as follows.
Given Input numbers are 988, 572, 974, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (988, 572, 974, 448) = 2.
Given numbers are 988, 572, 974, 448
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 974 are 2 x 487
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 988, 572, 974, 448 is 2.
Given numbers are 988, 572, 974, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 572) = 10868
GCD(988, 572) = ( 988 x 572 ) / 10868
= 988 / 572
= 988
Step2:
LCM(52, 974) = 25324
GCD(52, 974) = ( 52 x 974 ) / 25324
= 52 / 974
= 52
Step3:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
So, Greatest Common Divisor of 988, 572, 974, 448 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 572, 974, 448
The greatest common divisor of numbers 988, 572, 974, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 572, 974, 448 is 2.
1. What is the GCD of 988, 572, 974, 448?
GCD of given numbers 988, 572, 974, 448 is 2
2. How to calculate the greatest common divisor of 988, 572, 974, 448?
We can find the highest common divisor of 988, 572, 974, 448 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 988, 572, 974, 448 i.e 2.
3. How can I use the GCD of 988, 572, 974, 448Calculator?
Out the numbers 988, 572, 974, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.