Online GCD Calculator is useful to find the GCD of 245, 145, 910, 700 quickly. Get the easiest ways to solve the greatest common divisor of 245, 145, 910, 700 i.e 5 in different methods as follows.
Given Input numbers are 245, 145, 910, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
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
GCD of numbers is the greatest common divisor
So, the GCD (245, 145, 910, 700) = 5.
Given numbers are 245, 145, 910, 700
The list of prime factors of all numbers are
Prime factors of 245 are 5 x 7 x 7
Prime factors of 145 are 5 x 29
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 245, 145, 910, 700 is 5.
Given numbers are 245, 145, 910, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(245, 145) = 7105
GCD(245, 145) = ( 245 x 145 ) / 7105
= 245 / 145
= 245
Step2:
LCM(5, 910) = 910
GCD(5, 910) = ( 5 x 910 ) / 910
= 5 / 910
= 5
Step3:
LCM(5, 700) = 700
GCD(5, 700) = ( 5 x 700 ) / 700
= 5 / 700
= 5
So, Greatest Common Divisor of 245, 145, 910, 700 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 245, 145, 910, 700
The greatest common divisor of numbers 245, 145, 910, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 145, 910, 700 is 5.
1. What is the GCD of 245, 145, 910, 700?
GCD of given numbers 245, 145, 910, 700 is 5
2. How to calculate the greatest common divisor of 245, 145, 910, 700?
We can find the highest common divisor of 245, 145, 910, 700 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 245, 145, 910, 700 i.e 5.
3. How can I use the GCD of 245, 145, 910, 700Calculator?
Out the numbers 245, 145, 910, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.