Online GCD Calculator is useful to find the GCD of 348, 435, 921, 792 quickly. Get the easiest ways to solve the greatest common divisor of 348, 435, 921, 792 i.e 3 in different methods as follows.
Given Input numbers are 348, 435, 921, 792
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 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (348, 435, 921, 792) = 3.
Given numbers are 348, 435, 921, 792
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 435 are 3 x 5 x 29
Prime factors of 921 are 3 x 307
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 348, 435, 921, 792 is 3.
Given numbers are 348, 435, 921, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 435) = 1740
GCD(348, 435) = ( 348 x 435 ) / 1740
= 348 / 435
= 348
Step2:
LCM(87, 921) = 26709
GCD(87, 921) = ( 87 x 921 ) / 26709
= 87 / 921
= 87
Step3:
LCM(3, 792) = 792
GCD(3, 792) = ( 3 x 792 ) / 792
= 3 / 792
= 3
So, Greatest Common Divisor of 348, 435, 921, 792 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 435, 921, 792
The greatest common divisor of numbers 348, 435, 921, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 435, 921, 792 is 3.
1. What is the GCD of 348, 435, 921, 792?
GCD of given numbers 348, 435, 921, 792 is 3
2. How to calculate the greatest common divisor of 348, 435, 921, 792?
We can find the highest common divisor of 348, 435, 921, 792 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, 435, 921, 792 i.e 3.
3. How can I use the GCD of 348, 435, 921, 792Calculator?
Out the numbers 348, 435, 921, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.