Online GCD Calculator is useful to find the GCD of 764, 280, 436, 722 quickly. Get the easiest ways to solve the greatest common divisor of 764, 280, 436, 722 i.e 2 in different methods as follows.
Given Input numbers are 764, 280, 436, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
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 (764, 280, 436, 722) = 2.
Given numbers are 764, 280, 436, 722
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 436 are 2 x 2 x 109
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 764, 280, 436, 722 is 2.
Given numbers are 764, 280, 436, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 280) = 53480
GCD(764, 280) = ( 764 x 280 ) / 53480
= 764 / 280
= 764
Step2:
LCM(4, 436) = 436
GCD(4, 436) = ( 4 x 436 ) / 436
= 4 / 436
= 4
Step3:
LCM(4, 722) = 1444
GCD(4, 722) = ( 4 x 722 ) / 1444
= 4 / 722
= 4
So, Greatest Common Divisor of 764, 280, 436, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 764, 280, 436, 722
The greatest common divisor of numbers 764, 280, 436, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 280, 436, 722 is 2.
1. What is the GCD of 764, 280, 436, 722?
GCD of given numbers 764, 280, 436, 722 is 2
2. How to calculate the greatest common divisor of 764, 280, 436, 722?
We can find the highest common divisor of 764, 280, 436, 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 764, 280, 436, 722 i.e 2.
3. How can I use the GCD of 764, 280, 436, 722Calculator?
Out the numbers 764, 280, 436, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.