Online GCD Calculator is useful to find the GCD of 772, 434, 632, 740 quickly. Get the easiest ways to solve the greatest common divisor of 772, 434, 632, 740 i.e 2 in different methods as follows.
Given Input numbers are 772, 434, 632, 740
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (772, 434, 632, 740) = 2.
Given numbers are 772, 434, 632, 740
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 434 are 2 x 7 x 31
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 21
Therefore, GCD of 772, 434, 632, 740 is 2.
Given numbers are 772, 434, 632, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 434) = 167524
GCD(772, 434) = ( 772 x 434 ) / 167524
= 772 / 434
= 772
Step2:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
Step3:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
So, Greatest Common Divisor of 772, 434, 632, 740 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 434, 632, 740
The greatest common divisor of numbers 772, 434, 632, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 434, 632, 740 is 2.
1. What is the GCD of 772, 434, 632, 740?
GCD of given numbers 772, 434, 632, 740 is 2
2. How to calculate the greatest common divisor of 772, 434, 632, 740?
We can find the highest common divisor of 772, 434, 632, 740 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 772, 434, 632, 740 i.e 2.
3. How can I use the GCD of 772, 434, 632, 740Calculator?
Out the numbers 772, 434, 632, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.