GCF of 9914/275, 8926/4798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9914/275, 8926/4798 i.e 2/1319450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9914/275, 8926/4798.
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 9914/275,8926/4798?
Given fractions are 9914/275,8926/4798
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 9914/275,8926/4798, numerators are 9914,8926
Denominators are 275,4798
The GCF of 9914,8926 is 2 .
LCM of 275,4798 is 1319450.
The greatest common factor of 9914/275,8926/4798 = [GCF of 9914,8926]/[LCM of 275,4798]= 2/1319450
Therefore, the GCF of 9914/275,8926/4798 is 2/1319450.
To find the highest common factor of 9914,8926, we have to find the factors of both numbers and list the highest common factor.
The factors of 9914 are 1, 2, 4957, 9914
The factors of 8926 are 1, 2, 4463, 8926
The HCF of 9914,8926 is 2.
Lets's calculate GCF of 9914,8926
| 2 | 9914, 8926 |
| 4957, 4463 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9914,8926 By Matching Biggest Common Factor Method
Now, list down the factors of 9914
:1,2,4957,9914
Now, list down the factors of 8926
:1,2,4463,8926
Greatest Common Factor
We found the factors 9914,8926 . The biggest common factor number is the GCF number.
So the greatest common factor 9914,8926 is 2.
Lets's calculate LCM of 275,4798
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1319450
Therefore, the GCF of Fractions 9914/275,8926/4798 is 2/1319450
Least Common Multiple of 275,4798 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 275,4798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,4798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,4798) x common factors =1 x 1 = 1
LCM(275,4798) = ( 275 × 4798 ) / 1
LCM(275,4798) = 1319450 / 1
LCM(275,4798) = 1319450
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FAQs on GCF of Fractions of 9914/275, 8926/4798
1. What is the HCF of 9914,8926?
The HCF of 9914,8926 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 9914/275, 8926/4798?
Answer: GCF of Numerators as per given numbers 9914/275, 8926/4798 is
GCF of Numerators i.e. for 9914,8926 is 2
LCM of denominators i.e. for 275,4798 is 1319450.
Thus, GCF of Fractions is 2/1319450.Finally, GCF of Fractions for 9914/275, 8926/4798 is 2/1319450.