GCF of 9910/807, 4894/3316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9910/807, 4894/3316 i.e 2/2676012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9910/807, 4894/3316.
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 9910/807,4894/3316?
Given fractions are 9910/807,4894/3316
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 9910/807,4894/3316, numerators are 9910,4894
Denominators are 807,3316
The GCF of 9910,4894 is 2 .
LCM of 807,3316 is 2676012.
The greatest common factor of 9910/807,4894/3316 = [GCF of 9910,4894]/[LCM of 807,3316]= 2/2676012
Therefore, the GCF of 9910/807,4894/3316 is 2/2676012.
To find the highest common factor of 9910,4894, we have to find the factors of both numbers and list the highest common factor.
The factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910
The factors of 4894 are 1, 2, 2447, 4894
The HCF of 9910,4894 is 2.
Lets's calculate GCF of 9910,4894
| 2 | 9910, 4894 |
| 4955, 2447 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9910,4894 By Matching Biggest Common Factor Method
Now, list down the factors of 9910
:1,2,5,10,991,1982,4955,9910
Now, list down the factors of 4894
:1,2,2447,4894
Greatest Common Factor
We found the factors 9910,4894 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,4894 is 2.
Lets's calculate LCM of 807,3316
Given numbers has no common factors except 1. So, there LCM is their product i.e 2676012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2676012
Therefore, the GCF of Fractions 9910/807,4894/3316 is 2/2676012
Least Common Multiple of 807,3316 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 807,3316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,3316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,3316) x common factors =1 x 1 = 1
LCM(807,3316) = ( 807 × 3316 ) / 1
LCM(807,3316) = 2676012 / 1
LCM(807,3316) = 2676012
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FAQs on GCF of Fractions of 9910/807, 4894/3316
1. What is the HCF of 9910,4894?
The HCF of 9910,4894 is 2
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 9910/807, 4894/3316?
Answer: GCF of Numerators as per given numbers 9910/807, 4894/3316 is
GCF of Numerators i.e. for 9910,4894 is 2
LCM of denominators i.e. for 807,3316 is 2676012.
Thus, GCF of Fractions is 2/2676012.Finally, GCF of Fractions for 9910/807, 4894/3316 is 2/2676012.