Online GCD Calculator is useful to find the GCD of 122, 748, 276, 662 quickly. Get the easiest ways to solve the greatest common divisor of 122, 748, 276, 662 i.e 2 in different methods as follows.
Given Input numbers are 122, 748, 276, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (122, 748, 276, 662) = 2.
Given numbers are 122, 748, 276, 662
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 122, 748, 276, 662 is 2.
Given numbers are 122, 748, 276, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 748) = 45628
GCD(122, 748) = ( 122 x 748 ) / 45628
= 122 / 748
= 122
Step2:
LCM(2, 276) = 276
GCD(2, 276) = ( 2 x 276 ) / 276
= 2 / 276
= 2
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 122, 748, 276, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 748, 276, 662
The greatest common divisor of numbers 122, 748, 276, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 748, 276, 662 is 2.
1. What is the GCD of 122, 748, 276, 662?
GCD of given numbers 122, 748, 276, 662 is 2
2. How to calculate the greatest common divisor of 122, 748, 276, 662?
We can find the highest common divisor of 122, 748, 276, 662 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 122, 748, 276, 662 i.e 2.
3. How can I use the GCD of 122, 748, 276, 662Calculator?
Out the numbers 122, 748, 276, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.