Online GCD Calculator is useful to find the GCD of 602, 918, 980, 972 quickly. Get the easiest ways to solve the greatest common divisor of 602, 918, 980, 972 i.e 2 in different methods as follows.
Given Input numbers are 602, 918, 980, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 602 :
The positive integer divisors of 602 that completely divides 602 are.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
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 (602, 918, 980, 972) = 2.
Given numbers are 602, 918, 980, 972
The list of prime factors of all numbers are
Prime factors of 602 are 2 x 7 x 43
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
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 602, 918, 980, 972 is 2.
Given numbers are 602, 918, 980, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(602, 918) = 276318
GCD(602, 918) = ( 602 x 918 ) / 276318
= 602 / 918
= 602
Step2:
LCM(2, 980) = 980
GCD(2, 980) = ( 2 x 980 ) / 980
= 2 / 980
= 2
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 602, 918, 980, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 602, 918, 980, 972
The greatest common divisor of numbers 602, 918, 980, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 602, 918, 980, 972 is 2.
1. What is the GCD of 602, 918, 980, 972?
GCD of given numbers 602, 918, 980, 972 is 2
2. How to calculate the greatest common divisor of 602, 918, 980, 972?
We can find the highest common divisor of 602, 918, 980, 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 602, 918, 980, 972 i.e 2.
3. How can I use the GCD of 602, 918, 980, 972Calculator?
Out the numbers 602, 918, 980, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.