Online GCD Calculator is useful to find the GCD of 878, 118, 700, 340 quickly. Get the easiest ways to solve the greatest common divisor of 878, 118, 700, 340 i.e 2 in different methods as follows.
Given Input numbers are 878, 118, 700, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
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
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (878, 118, 700, 340) = 2.
Given numbers are 878, 118, 700, 340
The list of prime factors of all numbers are
Prime factors of 878 are 2 x 439
Prime factors of 118 are 2 x 59
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 878, 118, 700, 340 is 2.
Given numbers are 878, 118, 700, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(878, 118) = 51802
GCD(878, 118) = ( 878 x 118 ) / 51802
= 878 / 118
= 878
Step2:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 878, 118, 700, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 878, 118, 700, 340
The greatest common divisor of numbers 878, 118, 700, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 118, 700, 340 is 2.
1. What is the GCD of 878, 118, 700, 340?
GCD of given numbers 878, 118, 700, 340 is 2
2. How to calculate the greatest common divisor of 878, 118, 700, 340?
We can find the highest common divisor of 878, 118, 700, 340 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 878, 118, 700, 340 i.e 2.
3. How can I use the GCD of 878, 118, 700, 340Calculator?
Out the numbers 878, 118, 700, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.