Online GCD Calculator is useful to find the GCD of 758, 834, 224, 120 quickly. Get the easiest ways to solve the greatest common divisor of 758, 834, 224, 120 i.e 2 in different methods as follows.
Given Input numbers are 758, 834, 224, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (758, 834, 224, 120) = 2.
Given numbers are 758, 834, 224, 120
The list of prime factors of all numbers are
Prime factors of 758 are 2 x 379
Prime factors of 834 are 2 x 3 x 139
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 758, 834, 224, 120 is 2.
Given numbers are 758, 834, 224, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(758, 834) = 316086
GCD(758, 834) = ( 758 x 834 ) / 316086
= 758 / 834
= 758
Step2:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 758, 834, 224, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 758, 834, 224, 120
The greatest common divisor of numbers 758, 834, 224, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 834, 224, 120 is 2.
1. What is the GCD of 758, 834, 224, 120?
GCD of given numbers 758, 834, 224, 120 is 2
2. How to calculate the greatest common divisor of 758, 834, 224, 120?
We can find the highest common divisor of 758, 834, 224, 120 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 758, 834, 224, 120 i.e 2.
3. How can I use the GCD of 758, 834, 224, 120Calculator?
Out the numbers 758, 834, 224, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.