Online GCD Calculator is useful to find the GCD of 978, 880, 764, 716 quickly. Get the easiest ways to solve the greatest common divisor of 978, 880, 764, 716 i.e 2 in different methods as follows.
Given Input numbers are 978, 880, 764, 716
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 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (978, 880, 764, 716) = 2.
Given numbers are 978, 880, 764, 716
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 764 are 2 x 2 x 191
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 978, 880, 764, 716 is 2.
Given numbers are 978, 880, 764, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 880) = 430320
GCD(978, 880) = ( 978 x 880 ) / 430320
= 978 / 880
= 978
Step2:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 978, 880, 764, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 880, 764, 716
The greatest common divisor of numbers 978, 880, 764, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 880, 764, 716 is 2.
1. What is the GCD of 978, 880, 764, 716?
GCD of given numbers 978, 880, 764, 716 is 2
2. How to calculate the greatest common divisor of 978, 880, 764, 716?
We can find the highest common divisor of 978, 880, 764, 716 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, 880, 764, 716 i.e 2.
3. How can I use the GCD of 978, 880, 764, 716Calculator?
Out the numbers 978, 880, 764, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.