Online GCD Calculator is useful to find the GCD of 748, 914, 299, 707 quickly. Get the easiest ways to solve the greatest common divisor of 748, 914, 299, 707 i.e 1 in different methods as follows.
Given Input numbers are 748, 914, 299, 707
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (748, 914, 299, 707) = 1.
Given numbers are 748, 914, 299, 707
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 914 are 2 x 457
Prime factors of 299 are 13 x 23
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 914, 299, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 914) = 341836
GCD(748, 914) = ( 748 x 914 ) / 341836
= 748 / 914
= 748
Step2:
LCM(2, 299) = 598
GCD(2, 299) = ( 2 x 299 ) / 598
= 2 / 299
= 2
Step3:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
So, Greatest Common Divisor of 748, 914, 299, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 914, 299, 707
The greatest common divisor of numbers 748, 914, 299, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 914, 299, 707 is 1.
1. What is the GCD of 748, 914, 299, 707?
GCD of given numbers 748, 914, 299, 707 is 1
2. How to calculate the greatest common divisor of 748, 914, 299, 707?
We can find the highest common divisor of 748, 914, 299, 707 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 748, 914, 299, 707 i.e 1.
3. How can I use the GCD of 748, 914, 299, 707Calculator?
Out the numbers 748, 914, 299, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.