Online GCD Calculator is useful to find the GCD of 976, 346, 138, 262 quickly. Get the easiest ways to solve the greatest common divisor of 976, 346, 138, 262 i.e 2 in different methods as follows.
Given Input numbers are 976, 346, 138, 262
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 346 :
The positive integer divisors of 346 that completely divides 346 are.
1, 2, 173, 346
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
GCD of numbers is the greatest common divisor
So, the GCD (976, 346, 138, 262) = 2.
Given numbers are 976, 346, 138, 262
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 346 are 2 x 173
Prime factors of 138 are 2 x 3 x 23
Prime factors of 262 are 2 x 131
The highest common occurrence is 21
Therefore, GCD of 976, 346, 138, 262 is 2.
Given numbers are 976, 346, 138, 262
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 346) = 168848
GCD(976, 346) = ( 976 x 346 ) / 168848
= 976 / 346
= 976
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 262) = 262
GCD(2, 262) = ( 2 x 262 ) / 262
= 2 / 262
= 2
So, Greatest Common Divisor of 976, 346, 138, 262 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 346, 138, 262
The greatest common divisor of numbers 976, 346, 138, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 346, 138, 262 is 2.
1. What is the GCD of 976, 346, 138, 262?
GCD of given numbers 976, 346, 138, 262 is 2
2. How to calculate the greatest common divisor of 976, 346, 138, 262?
We can find the highest common divisor of 976, 346, 138, 262 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 976, 346, 138, 262 i.e 2.
3. How can I use the GCD of 976, 346, 138, 262Calculator?
Out the numbers 976, 346, 138, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.