Online GCD Calculator is useful to find the GCD of 972, 626, 618, 982 quickly. Get the easiest ways to solve the greatest common divisor of 972, 626, 618, 982 i.e 2 in different methods as follows.
Given Input numbers are 972, 626, 618, 982
In the factoring method, we have to find the divisors of all numbers
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 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
GCD of numbers is the greatest common divisor
So, the GCD (972, 626, 618, 982) = 2.
Given numbers are 972, 626, 618, 982
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 626 are 2 x 313
Prime factors of 618 are 2 x 3 x 103
Prime factors of 982 are 2 x 491
The highest common occurrence is 21
Therefore, GCD of 972, 626, 618, 982 is 2.
Given numbers are 972, 626, 618, 982
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 626) = 304236
GCD(972, 626) = ( 972 x 626 ) / 304236
= 972 / 626
= 972
Step2:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
Step3:
LCM(2, 982) = 982
GCD(2, 982) = ( 2 x 982 ) / 982
= 2 / 982
= 2
So, Greatest Common Divisor of 972, 626, 618, 982 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 626, 618, 982
The greatest common divisor of numbers 972, 626, 618, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 626, 618, 982 is 2.
1. What is the GCD of 972, 626, 618, 982?
GCD of given numbers 972, 626, 618, 982 is 2
2. How to calculate the greatest common divisor of 972, 626, 618, 982?
We can find the highest common divisor of 972, 626, 618, 982 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 972, 626, 618, 982 i.e 2.
3. How can I use the GCD of 972, 626, 618, 982Calculator?
Out the numbers 972, 626, 618, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.