Online GCD Calculator is useful to find the GCD of 348, 765, 876, 402 quickly. Get the easiest ways to solve the greatest common divisor of 348, 765, 876, 402 i.e 3 in different methods as follows.
Given Input numbers are 348, 765, 876, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (348, 765, 876, 402) = 3.
Given numbers are 348, 765, 876, 402
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 348, 765, 876, 402 is 3.
Given numbers are 348, 765, 876, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 765) = 88740
GCD(348, 765) = ( 348 x 765 ) / 88740
= 348 / 765
= 348
Step2:
LCM(3, 876) = 876
GCD(3, 876) = ( 3 x 876 ) / 876
= 3 / 876
= 3
Step3:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
So, Greatest Common Divisor of 348, 765, 876, 402 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 765, 876, 402
The greatest common divisor of numbers 348, 765, 876, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 765, 876, 402 is 3.
1. What is the GCD of 348, 765, 876, 402?
GCD of given numbers 348, 765, 876, 402 is 3
2. How to calculate the greatest common divisor of 348, 765, 876, 402?
We can find the highest common divisor of 348, 765, 876, 402 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 348, 765, 876, 402 i.e 3.
3. How can I use the GCD of 348, 765, 876, 402Calculator?
Out the numbers 348, 765, 876, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.