GCF of 4772/815, 7130/4196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4772/815, 7130/4196 i.e 2/3419740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4772/815, 7130/4196.
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 4772/815,7130/4196?
Given fractions are 4772/815,7130/4196
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 4772/815,7130/4196, numerators are 4772,7130
Denominators are 815,4196
The GCF of 4772,7130 is 2 .
LCM of 815,4196 is 3419740.
The greatest common factor of 4772/815,7130/4196 = [GCF of 4772,7130]/[LCM of 815,4196]= 2/3419740
Therefore, the GCF of 4772/815,7130/4196 is 2/3419740.
To find the highest common factor of 4772,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 4772,7130 is 2.
Lets's calculate GCF of 4772,7130
| 2 | 4772, 7130 |
| 2386, 3565 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4772,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 4772,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,7130 is 2.
Lets's calculate LCM of 815,4196
Given numbers has no common factors except 1. So, there LCM is their product i.e 3419740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3419740
Therefore, the GCF of Fractions 4772/815,7130/4196 is 2/3419740
Least Common Multiple of 815,4196 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 815,4196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,4196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,4196) x common factors =1 x 1 = 1
LCM(815,4196) = ( 815 × 4196 ) / 1
LCM(815,4196) = 3419740 / 1
LCM(815,4196) = 3419740
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4772/815, 7130/4196
1. What is the HCF of 4772,7130?
The HCF of 4772,7130 is 2
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 4772/815, 7130/4196?
Answer: GCF of Numerators as per given numbers 4772/815, 7130/4196 is
GCF of Numerators i.e. for 4772,7130 is 2
LCM of denominators i.e. for 815,4196 is 3419740.
Thus, GCF of Fractions is 2/3419740.Finally, GCF of Fractions for 4772/815, 7130/4196 is 2/3419740.