GCF of 777/205, 9436/5925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 777/205, 9436/5925 i.e 7/242925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/205, 9436/5925.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 777/205,9436/5925?
Given fractions are 777/205,9436/5925
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 777/205,9436/5925, numerators are 777,9436
Denominators are 205,5925
The GCF of 777,9436 is 7 .
LCM of 205,5925 is 242925.
The greatest common factor of 777/205,9436/5925 = [GCF of 777,9436]/[LCM of 205,5925]= 7/242925
Therefore, the GCF of 777/205,9436/5925 is 7/242925.
To find the highest common factor of 777,9436, we have to find the factors of both numbers and list the highest common factor.
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The HCF of 777,9436 is 7.
Lets's calculate GCF of 777,9436
| 7 | 777, 9436 |
| 111, 1348 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 777,9436 By Matching Biggest Common Factor Method
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 777,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 777,9436 is 7.
Lets's calculate LCM of 205,5925
| 5 | 205, 5925 |
| 41, 1185 |
∴ So the LCM of the given numbers is 5 x 41 x 1185 = 242925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/242925
Therefore, the GCF of Fractions 777/205,9436/5925 is 7/242925
Least Common Multiple of 205,5925 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 205,5925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,5925) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,5925) x common factors =5 x 1 = 5
LCM(205,5925) = ( 205 × 5925 ) / 5
LCM(205,5925) = 1214625 / 5
LCM(205,5925) = 242925
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 777/205, 9436/5925
1. What is the HCF of 777,9436?
The HCF of 777,9436 is 7
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 777/205, 9436/5925?
Answer: GCF of Numerators as per given numbers 777/205, 9436/5925 is
GCF of Numerators i.e. for 777,9436 is 7
LCM of denominators i.e. for 205,5925 is 242925.
Thus, GCF of Fractions is 7/242925.Finally, GCF of Fractions for 777/205, 9436/5925 is 7/242925.