Online GCD Calculator is useful to find the GCD of 976, 196, 266, 722 quickly. Get the easiest ways to solve the greatest common divisor of 976, 196, 266, 722 i.e 2 in different methods as follows.
Given Input numbers are 976, 196, 266, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (976, 196, 266, 722) = 2.
Given numbers are 976, 196, 266, 722
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 266 are 2 x 7 x 19
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 976, 196, 266, 722 is 2.
Given numbers are 976, 196, 266, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 196) = 47824
GCD(976, 196) = ( 976 x 196 ) / 47824
= 976 / 196
= 976
Step2:
LCM(4, 266) = 532
GCD(4, 266) = ( 4 x 266 ) / 532
= 4 / 266
= 4
Step3:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
So, Greatest Common Divisor of 976, 196, 266, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 196, 266, 722
The greatest common divisor of numbers 976, 196, 266, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 196, 266, 722 is 2.
1. What is the GCD of 976, 196, 266, 722?
GCD of given numbers 976, 196, 266, 722 is 2
2. How to calculate the greatest common divisor of 976, 196, 266, 722?
We can find the highest common divisor of 976, 196, 266, 722 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 976, 196, 266, 722 i.e 2.
3. How can I use the GCD of 976, 196, 266, 722Calculator?
Out the numbers 976, 196, 266, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.