GCF of 7847/732, 8813/4616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7847/732, 8813/4616 i.e 7/844728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7847/732, 8813/4616.
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 7847/732,8813/4616?
Given fractions are 7847/732,8813/4616
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 7847/732,8813/4616, numerators are 7847,8813
Denominators are 732,4616
The GCF of 7847,8813 is 7 .
LCM of 732,4616 is 844728.
The greatest common factor of 7847/732,8813/4616 = [GCF of 7847,8813]/[LCM of 732,4616]= 7/844728
Therefore, the GCF of 7847/732,8813/4616 is 7/844728.
To find the highest common factor of 7847,8813, we have to find the factors of both numbers and list the highest common factor.
The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847
The factors of 8813 are 1, 7, 1259, 8813
The HCF of 7847,8813 is 7.
Lets's calculate GCF of 7847,8813
| 7 | 7847, 8813 |
| 1121, 1259 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7847,8813 By Matching Biggest Common Factor Method
Now, list down the factors of 7847
:1,7,19,59,133,413,1121,7847
Now, list down the factors of 8813
:1,7,1259,8813
Greatest Common Factor
We found the factors 7847,8813 . The biggest common factor number is the GCF number.
So the greatest common factor 7847,8813 is 7.
Lets's calculate LCM of 732,4616
| 2 | 732, 4616 |
| 2 | 366, 2308 |
| 183, 1154 |
∴ So the LCM of the given numbers is 2 x 2 x 183 x 1154 = 844728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/844728
Therefore, the GCF of Fractions 7847/732,8813/4616 is 7/844728
Least Common Multiple of 732,4616 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 732,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,4616) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(732,4616) x common factors =4 x 1 = 4
LCM(732,4616) = ( 732 × 4616 ) / 4
LCM(732,4616) = 3378912 / 4
LCM(732,4616) = 844728
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FAQs on GCF of Fractions of 7847/732, 8813/4616
1. What is the HCF of 7847,8813?
The HCF of 7847,8813 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 7847/732, 8813/4616?
Answer: GCF of Numerators as per given numbers 7847/732, 8813/4616 is
GCF of Numerators i.e. for 7847,8813 is 7
LCM of denominators i.e. for 732,4616 is 844728.
Thus, GCF of Fractions is 7/844728.Finally, GCF of Fractions for 7847/732, 8813/4616 is 7/844728.