Online GCD Calculator is useful to find the GCD of 735, 350, 225, 294 quickly. Get the easiest ways to solve the greatest common divisor of 735, 350, 225, 294 i.e 1 in different methods as follows.
Given Input numbers are 735, 350, 225, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
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 (735, 350, 225, 294) = 1.
Given numbers are 735, 350, 225, 294
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 294 are 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 350, 225, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 350) = 7350
GCD(735, 350) = ( 735 x 350 ) / 7350
= 735 / 350
= 735
Step2:
LCM(35, 225) = 1575
GCD(35, 225) = ( 35 x 225 ) / 1575
= 35 / 225
= 35
Step3:
LCM(5, 294) = 1470
GCD(5, 294) = ( 5 x 294 ) / 1470
= 5 / 294
= 5
So, Greatest Common Divisor of 735, 350, 225, 294 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 350, 225, 294
The greatest common divisor of numbers 735, 350, 225, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 350, 225, 294 is 1.
1. What is the GCD of 735, 350, 225, 294?
GCD of given numbers 735, 350, 225, 294 is 1
2. How to calculate the greatest common divisor of 735, 350, 225, 294?
We can find the highest common divisor of 735, 350, 225, 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 735, 350, 225, 294 i.e 1.
3. How can I use the GCD of 735, 350, 225, 294Calculator?
Out the numbers 735, 350, 225, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.