GCF of 7816/819, 3112/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7816/819, 3112/609 i.e 8/23751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7816/819, 3112/609.
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 7816/819,3112/609?
Given fractions are 7816/819,3112/609
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 7816/819,3112/609, numerators are 7816,3112
Denominators are 819,609
The GCF of 7816,3112 is 8 .
LCM of 819,609 is 23751.
The greatest common factor of 7816/819,3112/609 = [GCF of 7816,3112]/[LCM of 819,609]= 8/23751
Therefore, the GCF of 7816/819,3112/609 is 8/23751.
To find the highest common factor of 7816,3112, we have to find the factors of both numbers and list the highest common factor.
The factors of 7816 are 1, 2, 4, 8, 977, 1954, 3908, 7816
The factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112
The HCF of 7816,3112 is 8.
Lets's calculate GCF of 7816,3112
| 2 | 7816, 3112 |
| 2 | 3908, 1556 |
| 2 | 1954, 778 |
| 977, 389 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7816,3112 By Matching Biggest Common Factor Method
Now, list down the factors of 7816
:1,2,4,8,977,1954,3908,7816
Now, list down the factors of 3112
:1,2,4,8,389,778,1556,3112
Greatest Common Factor
We found the factors 7816,3112 . The biggest common factor number is the GCF number.
So the greatest common factor 7816,3112 is 8.
Lets's calculate LCM of 819,609
| 3 | 819, 609 |
| 7 | 273, 203 |
| 39, 29 |
∴ So the LCM of the given numbers is 3 x 7 x 39 x 29 = 23751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/23751
Therefore, the GCF of Fractions 7816/819,3112/609 is 8/23751
Least Common Multiple of 819,609 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 819,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,609) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(819,609) x common factors =21 x 1 = 21
LCM(819,609) = ( 819 × 609 ) / 21
LCM(819,609) = 498771 / 21
LCM(819,609) = 23751
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7816/819, 3112/609
1. What is the HCF of 7816,3112?
The HCF of 7816,3112 is 8
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 7816/819, 3112/609?
Answer: GCF of Numerators as per given numbers 7816/819, 3112/609 is
GCF of Numerators i.e. for 7816,3112 is 8
LCM of denominators i.e. for 819,609 is 23751.
Thus, GCF of Fractions is 8/23751.Finally, GCF of Fractions for 7816/819, 3112/609 is 8/23751.