Online GCD Calculator is useful to find the GCD of 658, 763, 945, 714 quickly. Get the easiest ways to solve the greatest common divisor of 658, 763, 945, 714 i.e 7 in different methods as follows.
Given Input numbers are 658, 763, 945, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (658, 763, 945, 714) = 7.
Given numbers are 658, 763, 945, 714
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 763 are 7 x 109
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 71
Therefore, GCD of 658, 763, 945, 714 is 7.
Given numbers are 658, 763, 945, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 763) = 71722
GCD(658, 763) = ( 658 x 763 ) / 71722
= 658 / 763
= 658
Step2:
LCM(7, 945) = 945
GCD(7, 945) = ( 7 x 945 ) / 945
= 7 / 945
= 7
Step3:
LCM(7, 714) = 714
GCD(7, 714) = ( 7 x 714 ) / 714
= 7 / 714
= 7
So, Greatest Common Divisor of 658, 763, 945, 714 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 763, 945, 714
The greatest common divisor of numbers 658, 763, 945, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 763, 945, 714 is 7.
1. What is the GCD of 658, 763, 945, 714?
GCD of given numbers 658, 763, 945, 714 is 7
2. How to calculate the greatest common divisor of 658, 763, 945, 714?
We can find the highest common divisor of 658, 763, 945, 714 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 658, 763, 945, 714 i.e 7.
3. How can I use the GCD of 658, 763, 945, 714Calculator?
Out the numbers 658, 763, 945, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.