GCF of 9913/802, 3468/2274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9913/802, 3468/2274 i.e 1/911874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9913/802, 3468/2274.
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 9913/802,3468/2274?
Given fractions are 9913/802,3468/2274
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 9913/802,3468/2274, numerators are 9913,3468
Denominators are 802,2274
The GCF of 9913,3468 is 1 .
LCM of 802,2274 is 911874.
The greatest common factor of 9913/802,3468/2274 = [GCF of 9913,3468]/[LCM of 802,2274]= 1/911874
Therefore, the GCF of 9913/802,3468/2274 is 1/911874.
To find the highest common factor of 9913,3468, we have to find the factors of both numbers and list the highest common factor.
The factors of 9913 are 1, 23, 431, 9913
The factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
The HCF of 9913,3468 is 1.
Lets's calculate GCF of 9913,3468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9913,3468 By Matching Biggest Common Factor Method
Now, list down the factors of 9913
:1,23,431,9913
Now, list down the factors of 3468
:1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Greatest Common Factor
We found the factors 9913,3468 . The biggest common factor number is the GCF number.
So the greatest common factor 9913,3468 is 1.
Lets's calculate LCM of 802,2274
| 2 | 802, 2274 |
| 401, 1137 |
∴ So the LCM of the given numbers is 2 x 401 x 1137 = 911874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/911874
Therefore, the GCF of Fractions 9913/802,3468/2274 is 1/911874
Least Common Multiple of 802,2274 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 802,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,2274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,2274) x common factors =2 x 1 = 2
LCM(802,2274) = ( 802 × 2274 ) / 2
LCM(802,2274) = 1823748 / 2
LCM(802,2274) = 911874
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FAQs on GCF of Fractions of 9913/802, 3468/2274
1. What is the HCF of 9913,3468?
The HCF of 9913,3468 is 1
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 9913/802, 3468/2274?
Answer: GCF of Numerators as per given numbers 9913/802, 3468/2274 is
GCF of Numerators i.e. for 9913,3468 is 1
LCM of denominators i.e. for 802,2274 is 911874.
Thus, GCF of Fractions is 1/911874.Finally, GCF of Fractions for 9913/802, 3468/2274 is 1/911874.