GCF of 9815/281, 8892/4740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9815/281, 8892/4740 i.e 13/1331940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9815/281, 8892/4740.
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 9815/281,8892/4740?
Given fractions are 9815/281,8892/4740
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 9815/281,8892/4740, numerators are 9815,8892
Denominators are 281,4740
The GCF of 9815,8892 is 13 .
LCM of 281,4740 is 1331940.
The greatest common factor of 9815/281,8892/4740 = [GCF of 9815,8892]/[LCM of 281,4740]= 13/1331940
Therefore, the GCF of 9815/281,8892/4740 is 13/1331940.
To find the highest common factor of 9815,8892, we have to find the factors of both numbers and list the highest common factor.
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892
The HCF of 9815,8892 is 13.
Lets's calculate GCF of 9815,8892
| 13 | 9815, 8892 |
| 755, 684 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9815,8892 By Matching Biggest Common Factor Method
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Now, list down the factors of 8892
:1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Greatest Common Factor
We found the factors 9815,8892 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,8892 is 13.
Lets's calculate LCM of 281,4740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1331940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1331940
Therefore, the GCF of Fractions 9815/281,8892/4740 is 13/1331940
Least Common Multiple of 281,4740 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 281,4740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,4740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,4740) x common factors =1 x 1 = 1
LCM(281,4740) = ( 281 × 4740 ) / 1
LCM(281,4740) = 1331940 / 1
LCM(281,4740) = 1331940
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FAQs on GCF of Fractions of 9815/281, 8892/4740
1. What is the HCF of 9815,8892?
The HCF of 9815,8892 is 13
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 9815/281, 8892/4740?
Answer: GCF of Numerators as per given numbers 9815/281, 8892/4740 is
GCF of Numerators i.e. for 9815,8892 is 13
LCM of denominators i.e. for 281,4740 is 1331940.
Thus, GCF of Fractions is 13/1331940.Finally, GCF of Fractions for 9815/281, 8892/4740 is 13/1331940.