Online GCD Calculator is useful to find the GCD of 736, 434, 962, 700 quickly. Get the easiest ways to solve the greatest common divisor of 736, 434, 962, 700 i.e 2 in different methods as follows.
Given Input numbers are 736, 434, 962, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (736, 434, 962, 700) = 2.
Given numbers are 736, 434, 962, 700
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 434 are 2 x 7 x 31
Prime factors of 962 are 2 x 13 x 37
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 736, 434, 962, 700 is 2.
Given numbers are 736, 434, 962, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 434) = 159712
GCD(736, 434) = ( 736 x 434 ) / 159712
= 736 / 434
= 736
Step2:
LCM(2, 962) = 962
GCD(2, 962) = ( 2 x 962 ) / 962
= 2 / 962
= 2
Step3:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 736, 434, 962, 700 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 434, 962, 700
The greatest common divisor of numbers 736, 434, 962, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 434, 962, 700 is 2.
1. What is the GCD of 736, 434, 962, 700?
GCD of given numbers 736, 434, 962, 700 is 2
2. How to calculate the greatest common divisor of 736, 434, 962, 700?
We can find the highest common divisor of 736, 434, 962, 700 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 736, 434, 962, 700 i.e 2.
3. How can I use the GCD of 736, 434, 962, 700Calculator?
Out the numbers 736, 434, 962, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.