Online GCD Calculator is useful to find the GCD of 840, 865, 775, 700 quickly. Get the easiest ways to solve the greatest common divisor of 840, 865, 775, 700 i.e 5 in different methods as follows.
Given Input numbers are 840, 865, 775, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 865 :
The positive integer divisors of 865 that completely divides 865 are.
1, 5, 173, 865
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
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 (840, 865, 775, 700) = 5.
Given numbers are 840, 865, 775, 700
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 865 are 5 x 173
Prime factors of 775 are 5 x 5 x 31
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 840, 865, 775, 700 is 5.
Given numbers are 840, 865, 775, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 865) = 145320
GCD(840, 865) = ( 840 x 865 ) / 145320
= 840 / 865
= 840
Step2:
LCM(5, 775) = 775
GCD(5, 775) = ( 5 x 775 ) / 775
= 5 / 775
= 5
Step3:
LCM(5, 700) = 700
GCD(5, 700) = ( 5 x 700 ) / 700
= 5 / 700
= 5
So, Greatest Common Divisor of 840, 865, 775, 700 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 865, 775, 700
The greatest common divisor of numbers 840, 865, 775, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 865, 775, 700 is 5.
1. What is the GCD of 840, 865, 775, 700?
GCD of given numbers 840, 865, 775, 700 is 5
2. How to calculate the greatest common divisor of 840, 865, 775, 700?
We can find the highest common divisor of 840, 865, 775, 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 840, 865, 775, 700 i.e 5.
3. How can I use the GCD of 840, 865, 775, 700Calculator?
Out the numbers 840, 865, 775, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.