Online GCD Calculator is useful to find the GCD of 267, 861, 771, 948 quickly. Get the easiest ways to solve the greatest common divisor of 267, 861, 771, 948 i.e 3 in different methods as follows.
Given Input numbers are 267, 861, 771, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (267, 861, 771, 948) = 3.
Given numbers are 267, 861, 771, 948
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 861 are 3 x 7 x 41
Prime factors of 771 are 3 x 257
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 267, 861, 771, 948 is 3.
Given numbers are 267, 861, 771, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 861) = 76629
GCD(267, 861) = ( 267 x 861 ) / 76629
= 267 / 861
= 267
Step2:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
Step3:
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
= 3 / 948
= 3
So, Greatest Common Divisor of 267, 861, 771, 948 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 861, 771, 948
The greatest common divisor of numbers 267, 861, 771, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 861, 771, 948 is 3.
1. What is the GCD of 267, 861, 771, 948?
GCD of given numbers 267, 861, 771, 948 is 3
2. How to calculate the greatest common divisor of 267, 861, 771, 948?
We can find the highest common divisor of 267, 861, 771, 948 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 267, 861, 771, 948 i.e 3.
3. How can I use the GCD of 267, 861, 771, 948Calculator?
Out the numbers 267, 861, 771, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.