GCF of 7986/105, 4334/4553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7986/105, 4334/4553 i.e 22/478065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7986/105, 4334/4553.
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 7986/105,4334/4553?
Given fractions are 7986/105,4334/4553
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 7986/105,4334/4553, numerators are 7986,4334
Denominators are 105,4553
The GCF of 7986,4334 is 22 .
LCM of 105,4553 is 478065.
The greatest common factor of 7986/105,4334/4553 = [GCF of 7986,4334]/[LCM of 105,4553]= 22/478065
Therefore, the GCF of 7986/105,4334/4553 is 22/478065.
To find the highest common factor of 7986,4334, we have to find the factors of both numbers and list the highest common factor.
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The HCF of 7986,4334 is 22.
Lets's calculate GCF of 7986,4334
| 2 | 7986, 4334 |
| 11 | 3993, 2167 |
| 363, 197 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 7986,4334 By Matching Biggest Common Factor Method
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Greatest Common Factor
We found the factors 7986,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,4334 is 22.
Lets's calculate LCM of 105,4553
Given numbers has no common factors except 1. So, there LCM is their product i.e 478065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/478065
Therefore, the GCF of Fractions 7986/105,4334/4553 is 22/478065
Least Common Multiple of 105,4553 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 105,4553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,4553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,4553) x common factors =1 x 1 = 1
LCM(105,4553) = ( 105 × 4553 ) / 1
LCM(105,4553) = 478065 / 1
LCM(105,4553) = 478065
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FAQs on GCF of Fractions of 7986/105, 4334/4553
1. What is the HCF of 7986,4334?
The HCF of 7986,4334 is 22
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 7986/105, 4334/4553?
Answer: GCF of Numerators as per given numbers 7986/105, 4334/4553 is
GCF of Numerators i.e. for 7986,4334 is 22
LCM of denominators i.e. for 105,4553 is 478065.
Thus, GCF of Fractions is 22/478065.Finally, GCF of Fractions for 7986/105, 4334/4553 is 22/478065.