Online GCD Calculator is useful to find the GCD of 375, 700, 120, 294 quickly. Get the easiest ways to solve the greatest common divisor of 375, 700, 120, 294 i.e 1 in different methods as follows.
Given Input numbers are 375, 700, 120, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (375, 700, 120, 294) = 1.
Given numbers are 375, 700, 120, 294
The list of prime factors of all numbers are
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 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 375, 700, 120, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(375, 700) = 10500
GCD(375, 700) = ( 375 x 700 ) / 10500
= 375 / 700
= 375
Step2:
LCM(25, 120) = 600
GCD(25, 120) = ( 25 x 120 ) / 600
= 25 / 120
= 25
Step3:
LCM(5, 294) = 1470
GCD(5, 294) = ( 5 x 294 ) / 1470
= 5 / 294
= 5
So, Greatest Common Divisor of 375, 700, 120, 294 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 375, 700, 120, 294
The greatest common divisor of numbers 375, 700, 120, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 700, 120, 294 is 1.
1. What is the GCD of 375, 700, 120, 294?
GCD of given numbers 375, 700, 120, 294 is 1
2. How to calculate the greatest common divisor of 375, 700, 120, 294?
We can find the highest common divisor of 375, 700, 120, 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 375, 700, 120, 294 i.e 1.
3. How can I use the GCD of 375, 700, 120, 294Calculator?
Out the numbers 375, 700, 120, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.