GCD of 770, 651, 994 Calculator
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 770, 651, 994 i.e. 7 largest integer that divides all the numbers equally.
GCD of 770, 651, 994 is 7
GCD(770, 651, 994) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 651, 994 is 7
GCD(770, 651, 994) = 7
GCDof 770,651,994 is 7
Given Input numbers are 770, 651, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 770, 651, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 651, 994 is 7.
Therefore, GCD of numbers 770, 651, 994 is 7
Given Input Data is 770, 651, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 994 is 2 x 7 x 71
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 770, 651, 994 using LCM Formula
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(770, 651) = 71610
GCD(770, 651) = ( 770 x 651 ) / 71610
GCD(770, 651) = 501270 / 71610
GCD(770, 651) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 994) = 994
GCD(7, 994) = ( 7 x 994 ) / 994
GCD(7, 994) = 6958 / 994
GCD(7, 994) = 7
GCD of 770, 651, 994 is 7
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FAQs on GCD of numbers 770, 651, 994
1. What is the GCD of 770, 651, 994?
GCD of 770, 651, 994 is 7
2. Where do I get the detailed procedure to find GCD of 770, 651, 994?
You can find a detailed procedure to find GCD of 770, 651, 994 on our page.
3. How to find GCD of 770, 651, 994 on a calculator?
You can find the GCD of 770, 651, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.