Online GCD Calculator is useful to find the GCD of 940, 964, 778, 724 quickly. Get the easiest ways to solve the greatest common divisor of 940, 964, 778, 724 i.e 2 in different methods as follows.
Given Input numbers are 940, 964, 778, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 778 :
The positive integer divisors of 778 that completely divides 778 are.
1, 2, 389, 778
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (940, 964, 778, 724) = 2.
Given numbers are 940, 964, 778, 724
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 964 are 2 x 2 x 241
Prime factors of 778 are 2 x 389
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 940, 964, 778, 724 is 2.
Given numbers are 940, 964, 778, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 964) = 226540
GCD(940, 964) = ( 940 x 964 ) / 226540
= 940 / 964
= 940
Step2:
LCM(4, 778) = 1556
GCD(4, 778) = ( 4 x 778 ) / 1556
= 4 / 778
= 4
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 940, 964, 778, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 964, 778, 724
The greatest common divisor of numbers 940, 964, 778, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 964, 778, 724 is 2.
1. What is the GCD of 940, 964, 778, 724?
GCD of given numbers 940, 964, 778, 724 is 2
2. How to calculate the greatest common divisor of 940, 964, 778, 724?
We can find the highest common divisor of 940, 964, 778, 724 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 940, 964, 778, 724 i.e 2.
3. How can I use the GCD of 940, 964, 778, 724Calculator?
Out the numbers 940, 964, 778, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.