Online GCD Calculator is useful to find the GCD of 426, 888, 765, 294 quickly. Get the easiest ways to solve the greatest common divisor of 426, 888, 765, 294 i.e 3 in different methods as follows.
Given Input numbers are 426, 888, 765, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (426, 888, 765, 294) = 3.
Given numbers are 426, 888, 765, 294
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 426, 888, 765, 294 is 3.
Given numbers are 426, 888, 765, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 888) = 63048
GCD(426, 888) = ( 426 x 888 ) / 63048
= 426 / 888
= 426
Step2:
LCM(6, 765) = 1530
GCD(6, 765) = ( 6 x 765 ) / 1530
= 6 / 765
= 6
Step3:
LCM(3, 294) = 294
GCD(3, 294) = ( 3 x 294 ) / 294
= 3 / 294
= 3
So, Greatest Common Divisor of 426, 888, 765, 294 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 888, 765, 294
The greatest common divisor of numbers 426, 888, 765, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 888, 765, 294 is 3.
1. What is the GCD of 426, 888, 765, 294?
GCD of given numbers 426, 888, 765, 294 is 3
2. How to calculate the greatest common divisor of 426, 888, 765, 294?
We can find the highest common divisor of 426, 888, 765, 294 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 426, 888, 765, 294 i.e 3.
3. How can I use the GCD of 426, 888, 765, 294Calculator?
Out the numbers 426, 888, 765, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.