Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 940, 420, 700, 708 i.e. 4 largest integer that divides all the numbers equally.
GCD of 940, 420, 700, 708 is 4
GCD(940, 420, 700, 708) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 420, 700, 708 is 4
GCD(940, 420, 700, 708) = 4
Given Input numbers are 940, 420, 700, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 940, 420, 700, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 420, 700, 708 is 4.
Therefore, GCD of numbers 940, 420, 700, 708 is 4
Given Input Data is 940, 420, 700, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 708 is 2 x 2 x 3 x 59
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(940, 420) = 19740
GCD(940, 420) = ( 940 x 420 ) / 19740
GCD(940, 420) = 394800 / 19740
GCD(940, 420) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 700) = 700
GCD(20, 700) = ( 20 x 700 ) / 700
GCD(20, 700) = 14000 / 700
GCD(20, 700) = 20
Step3:
Here we consider the GCD from the above i.e. 20 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 708) = 3540
GCD(20, 708) = ( 20 x 708 ) / 3540
GCD(20, 708) = 14160 / 3540
GCD(20, 708) = 4
GCD of 940, 420, 700, 708 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 420, 700, 708?
GCD of 940, 420, 700, 708 is 4
2. Where do I get the detailed procedure to find GCD of 940, 420, 700, 708?
You can find a detailed procedure to find GCD of 940, 420, 700, 708 on our page.
3. How to find GCD of 940, 420, 700, 708 on a calculator?
You can find the GCD of 940, 420, 700, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.