Online GCD Calculator is useful to find the GCD of 978, 628, 746, 772 quickly. Get the easiest ways to solve the greatest common divisor of 978, 628, 746, 772 i.e 2 in different methods as follows.
Given Input numbers are 978, 628, 746, 772
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (978, 628, 746, 772) = 2.
Given numbers are 978, 628, 746, 772
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 628 are 2 x 2 x 157
Prime factors of 746 are 2 x 373
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 21
Therefore, GCD of 978, 628, 746, 772 is 2.
Given numbers are 978, 628, 746, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 628) = 307092
GCD(978, 628) = ( 978 x 628 ) / 307092
= 978 / 628
= 978
Step2:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
Step3:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
So, Greatest Common Divisor of 978, 628, 746, 772 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 628, 746, 772
The greatest common divisor of numbers 978, 628, 746, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 628, 746, 772 is 2.
1. What is the GCD of 978, 628, 746, 772?
GCD of given numbers 978, 628, 746, 772 is 2
2. How to calculate the greatest common divisor of 978, 628, 746, 772?
We can find the highest common divisor of 978, 628, 746, 772 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 978, 628, 746, 772 i.e 2.
3. How can I use the GCD of 978, 628, 746, 772Calculator?
Out the numbers 978, 628, 746, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.