GCF of 5865/881, 9930/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/881, 9930/812 i.e 15/715372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/881, 9930/812.
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 5865/881,9930/812?
Given fractions are 5865/881,9930/812
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 5865/881,9930/812, numerators are 5865,9930
Denominators are 881,812
The GCF of 5865,9930 is 15 .
LCM of 881,812 is 715372.
The greatest common factor of 5865/881,9930/812 = [GCF of 5865,9930]/[LCM of 881,812]= 15/715372
Therefore, the GCF of 5865/881,9930/812 is 15/715372.
To find the highest common factor of 5865,9930, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930
The HCF of 5865,9930 is 15.
Lets's calculate GCF of 5865,9930
| 3 | 5865, 9930 |
| 5 | 1955, 3310 |
| 391, 662 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5865,9930 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 9930
:1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930
Greatest Common Factor
We found the factors 5865,9930 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,9930 is 15.
Lets's calculate LCM of 881,812
Given numbers has no common factors except 1. So, there LCM is their product i.e 715372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/715372
Therefore, the GCF of Fractions 5865/881,9930/812 is 15/715372
Least Common Multiple of 881,812 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 881,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,812) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,812) x common factors =1 x 1 = 1
LCM(881,812) = ( 881 × 812 ) / 1
LCM(881,812) = 715372 / 1
LCM(881,812) = 715372
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FAQs on GCF of Fractions of 5865/881, 9930/812
1. What is the HCF of 5865,9930?
The HCF of 5865,9930 is 15
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 5865/881, 9930/812?
Answer: GCF of Numerators as per given numbers 5865/881, 9930/812 is
GCF of Numerators i.e. for 5865,9930 is 15
LCM of denominators i.e. for 881,812 is 715372.
Thus, GCF of Fractions is 15/715372.Finally, GCF of Fractions for 5865/881, 9930/812 is 15/715372.