Online GCD Calculator is useful to find the GCD of 798, 474, 742, 972 quickly. Get the easiest ways to solve the greatest common divisor of 798, 474, 742, 972 i.e 2 in different methods as follows.
Given Input numbers are 798, 474, 742, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
GCD of numbers is the greatest common divisor
So, the GCD (798, 474, 742, 972) = 2.
Given numbers are 798, 474, 742, 972
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 474 are 2 x 3 x 79
Prime factors of 742 are 2 x 7 x 53
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 798, 474, 742, 972 is 2.
Given numbers are 798, 474, 742, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 474) = 63042
GCD(798, 474) = ( 798 x 474 ) / 63042
= 798 / 474
= 798
Step2:
LCM(6, 742) = 2226
GCD(6, 742) = ( 6 x 742 ) / 2226
= 6 / 742
= 6
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 798, 474, 742, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 474, 742, 972
The greatest common divisor of numbers 798, 474, 742, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 474, 742, 972 is 2.
1. What is the GCD of 798, 474, 742, 972?
GCD of given numbers 798, 474, 742, 972 is 2
2. How to calculate the greatest common divisor of 798, 474, 742, 972?
We can find the highest common divisor of 798, 474, 742, 972 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 798, 474, 742, 972 i.e 2.
3. How can I use the GCD of 798, 474, 742, 972Calculator?
Out the numbers 798, 474, 742, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.