Online GCD Calculator is useful to find the GCD of 100, 735, 245, 678 quickly. Get the easiest ways to solve the greatest common divisor of 100, 735, 245, 678 i.e 1 in different methods as follows.
Given Input numbers are 100, 735, 245, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
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 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (100, 735, 245, 678) = 1.
Given numbers are 100, 735, 245, 678
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 245 are 5 x 7 x 7
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 735, 245, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 735) = 14700
GCD(100, 735) = ( 100 x 735 ) / 14700
= 100 / 735
= 100
Step2:
LCM(5, 245) = 245
GCD(5, 245) = ( 5 x 245 ) / 245
= 5 / 245
= 5
Step3:
LCM(5, 678) = 3390
GCD(5, 678) = ( 5 x 678 ) / 3390
= 5 / 678
= 5
So, Greatest Common Divisor of 100, 735, 245, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 735, 245, 678
The greatest common divisor of numbers 100, 735, 245, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 735, 245, 678 is 1.
1. What is the GCD of 100, 735, 245, 678?
GCD of given numbers 100, 735, 245, 678 is 1
2. How to calculate the greatest common divisor of 100, 735, 245, 678?
We can find the highest common divisor of 100, 735, 245, 678 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 100, 735, 245, 678 i.e 1.
3. How can I use the GCD of 100, 735, 245, 678Calculator?
Out the numbers 100, 735, 245, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.