GCF of 9845/924, 8052/9109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9845/924, 8052/9109 i.e 11/8416716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9845/924, 8052/9109.
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 9845/924,8052/9109?
Given fractions are 9845/924,8052/9109
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 9845/924,8052/9109, numerators are 9845,8052
Denominators are 924,9109
The GCF of 9845,8052 is 11 .
LCM of 924,9109 is 8416716.
The greatest common factor of 9845/924,8052/9109 = [GCF of 9845,8052]/[LCM of 924,9109]= 11/8416716
Therefore, the GCF of 9845/924,8052/9109 is 11/8416716.
To find the highest common factor of 9845,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 9845,8052 is 11.
Lets's calculate GCF of 9845,8052
| 11 | 9845, 8052 |
| 895, 732 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9845,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 9845,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 9845,8052 is 11.
Lets's calculate LCM of 924,9109
Given numbers has no common factors except 1. So, there LCM is their product i.e 8416716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8416716
Therefore, the GCF of Fractions 9845/924,8052/9109 is 11/8416716
Least Common Multiple of 924,9109 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 924,9109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,9109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,9109) x common factors =1 x 1 = 1
LCM(924,9109) = ( 924 × 9109 ) / 1
LCM(924,9109) = 8416716 / 1
LCM(924,9109) = 8416716
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FAQs on GCF of Fractions of 9845/924, 8052/9109
1. What is the HCF of 9845,8052?
The HCF of 9845,8052 is 11
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 9845/924, 8052/9109?
Answer: GCF of Numerators as per given numbers 9845/924, 8052/9109 is
GCF of Numerators i.e. for 9845,8052 is 11
LCM of denominators i.e. for 924,9109 is 8416716.
Thus, GCF of Fractions is 11/8416716.Finally, GCF of Fractions for 9845/924, 8052/9109 is 11/8416716.