Online GCD Calculator is useful to find the GCD of 262, 132, 476, 148 quickly. Get the easiest ways to solve the greatest common divisor of 262, 132, 476, 148 i.e 2 in different methods as follows.
Given Input numbers are 262, 132, 476, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (262, 132, 476, 148) = 2.
Given numbers are 262, 132, 476, 148
The list of prime factors of all numbers are
Prime factors of 262 are 2 x 131
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 262, 132, 476, 148 is 2.
Given numbers are 262, 132, 476, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(262, 132) = 17292
GCD(262, 132) = ( 262 x 132 ) / 17292
= 262 / 132
= 262
Step2:
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
= 2 / 476
= 2
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 262, 132, 476, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 262, 132, 476, 148
The greatest common divisor of numbers 262, 132, 476, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 132, 476, 148 is 2.
1. What is the GCD of 262, 132, 476, 148?
GCD of given numbers 262, 132, 476, 148 is 2
2. How to calculate the greatest common divisor of 262, 132, 476, 148?
We can find the highest common divisor of 262, 132, 476, 148 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 262, 132, 476, 148 i.e 2.
3. How can I use the GCD of 262, 132, 476, 148Calculator?
Out the numbers 262, 132, 476, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.