Online GCD Calculator is useful to find the GCD of 385, 435, 400, 525 quickly. Get the easiest ways to solve the greatest common divisor of 385, 435, 400, 525 i.e 5 in different methods as follows.
Given Input numbers are 385, 435, 400, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
GCD of numbers is the greatest common divisor
So, the GCD (385, 435, 400, 525) = 5.
Given numbers are 385, 435, 400, 525
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 435 are 3 x 5 x 29
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 385, 435, 400, 525 is 5.
Given numbers are 385, 435, 400, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 435) = 33495
GCD(385, 435) = ( 385 x 435 ) / 33495
= 385 / 435
= 385
Step2:
LCM(5, 400) = 400
GCD(5, 400) = ( 5 x 400 ) / 400
= 5 / 400
= 5
Step3:
LCM(5, 525) = 525
GCD(5, 525) = ( 5 x 525 ) / 525
= 5 / 525
= 5
So, Greatest Common Divisor of 385, 435, 400, 525 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 385, 435, 400, 525
The greatest common divisor of numbers 385, 435, 400, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 435, 400, 525 is 5.
1. What is the GCD of 385, 435, 400, 525?
GCD of given numbers 385, 435, 400, 525 is 5
2. How to calculate the greatest common divisor of 385, 435, 400, 525?
We can find the highest common divisor of 385, 435, 400, 525 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 385, 435, 400, 525 i.e 5.
3. How can I use the GCD of 385, 435, 400, 525Calculator?
Out the numbers 385, 435, 400, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.