Online GCD Calculator is useful to find the GCD of 268, 130, 140, 724 quickly. Get the easiest ways to solve the greatest common divisor of 268, 130, 140, 724 i.e 2 in different methods as follows.
Given Input numbers are 268, 130, 140, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
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 (268, 130, 140, 724) = 2.
Given numbers are 268, 130, 140, 724
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 130 are 2 x 5 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 268, 130, 140, 724 is 2.
Given numbers are 268, 130, 140, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 130) = 17420
GCD(268, 130) = ( 268 x 130 ) / 17420
= 268 / 130
= 268
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
So, Greatest Common Divisor of 268, 130, 140, 724 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 130, 140, 724
The greatest common divisor of numbers 268, 130, 140, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 130, 140, 724 is 2.
1. What is the GCD of 268, 130, 140, 724?
GCD of given numbers 268, 130, 140, 724 is 2
2. How to calculate the greatest common divisor of 268, 130, 140, 724?
We can find the highest common divisor of 268, 130, 140, 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 268, 130, 140, 724 i.e 2.
3. How can I use the GCD of 268, 130, 140, 724Calculator?
Out the numbers 268, 130, 140, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.