Online GCD Calculator is useful to find the GCD of 154, 429, 968, 726 quickly. Get the easiest ways to solve the greatest common divisor of 154, 429, 968, 726 i.e 11 in different methods as follows.
Given Input numbers are 154, 429, 968, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (154, 429, 968, 726) = 11.
Given numbers are 154, 429, 968, 726
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 429 are 3 x 11 x 13
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 111
Therefore, GCD of 154, 429, 968, 726 is 11.
Given numbers are 154, 429, 968, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 429) = 6006
GCD(154, 429) = ( 154 x 429 ) / 6006
= 154 / 429
= 154
Step2:
LCM(11, 968) = 968
GCD(11, 968) = ( 11 x 968 ) / 968
= 11 / 968
= 11
Step3:
LCM(11, 726) = 726
GCD(11, 726) = ( 11 x 726 ) / 726
= 11 / 726
= 11
So, Greatest Common Divisor of 154, 429, 968, 726 is 11
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 429, 968, 726
The greatest common divisor of numbers 154, 429, 968, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 429, 968, 726 is 11.
1. What is the GCD of 154, 429, 968, 726?
GCD of given numbers 154, 429, 968, 726 is 11
2. How to calculate the greatest common divisor of 154, 429, 968, 726?
We can find the highest common divisor of 154, 429, 968, 726 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 154, 429, 968, 726 i.e 11.
3. How can I use the GCD of 154, 429, 968, 726Calculator?
Out the numbers 154, 429, 968, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.