Online GCD Calculator is useful to find the GCD of 972, 620, 166, 278 quickly. Get the easiest ways to solve the greatest common divisor of 972, 620, 166, 278 i.e 2 in different methods as follows.
Given Input numbers are 972, 620, 166, 278
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 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
GCD of numbers is the greatest common divisor
So, the GCD (972, 620, 166, 278) = 2.
Given numbers are 972, 620, 166, 278
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 620 are 2 x 2 x 5 x 31
Prime factors of 166 are 2 x 83
Prime factors of 278 are 2 x 139
The highest common occurrence is 21
Therefore, GCD of 972, 620, 166, 278 is 2.
Given numbers are 972, 620, 166, 278
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 620) = 150660
GCD(972, 620) = ( 972 x 620 ) / 150660
= 972 / 620
= 972
Step2:
LCM(4, 166) = 332
GCD(4, 166) = ( 4 x 166 ) / 332
= 4 / 166
= 4
Step3:
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
= 2 / 278
= 2
So, Greatest Common Divisor of 972, 620, 166, 278 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 620, 166, 278
The greatest common divisor of numbers 972, 620, 166, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 620, 166, 278 is 2.
1. What is the GCD of 972, 620, 166, 278?
GCD of given numbers 972, 620, 166, 278 is 2
2. How to calculate the greatest common divisor of 972, 620, 166, 278?
We can find the highest common divisor of 972, 620, 166, 278 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, 620, 166, 278 i.e 2.
3. How can I use the GCD of 972, 620, 166, 278Calculator?
Out the numbers 972, 620, 166, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.