Online GCD Calculator is useful to find the GCD of 100, 588, 940, 734 quickly. Get the easiest ways to solve the greatest common divisor of 100, 588, 940, 734 i.e 2 in different methods as follows.
Given Input numbers are 100, 588, 940, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (100, 588, 940, 734) = 2.
Given numbers are 100, 588, 940, 734
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 734 are 2 x 367
The highest common occurrence is 21
Therefore, GCD of 100, 588, 940, 734 is 2.
Given numbers are 100, 588, 940, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 588) = 14700
GCD(100, 588) = ( 100 x 588 ) / 14700
= 100 / 588
= 100
Step2:
LCM(4, 940) = 940
GCD(4, 940) = ( 4 x 940 ) / 940
= 4 / 940
= 4
Step3:
LCM(4, 734) = 1468
GCD(4, 734) = ( 4 x 734 ) / 1468
= 4 / 734
= 4
So, Greatest Common Divisor of 100, 588, 940, 734 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 588, 940, 734
The greatest common divisor of numbers 100, 588, 940, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 588, 940, 734 is 2.
1. What is the GCD of 100, 588, 940, 734?
GCD of given numbers 100, 588, 940, 734 is 2
2. How to calculate the greatest common divisor of 100, 588, 940, 734?
We can find the highest common divisor of 100, 588, 940, 734 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 100, 588, 940, 734 i.e 2.
3. How can I use the GCD of 100, 588, 940, 734Calculator?
Out the numbers 100, 588, 940, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.