GCF of 3369/999, 8522/9876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3369/999, 8522/9876 i.e 1/3288708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3369/999, 8522/9876.
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 3369/999,8522/9876?
Given fractions are 3369/999,8522/9876
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 3369/999,8522/9876, numerators are 3369,8522
Denominators are 999,9876
The GCF of 3369,8522 is 1 .
LCM of 999,9876 is 3288708.
The greatest common factor of 3369/999,8522/9876 = [GCF of 3369,8522]/[LCM of 999,9876]= 1/3288708
Therefore, the GCF of 3369/999,8522/9876 is 1/3288708.
To find the highest common factor of 3369,8522, we have to find the factors of both numbers and list the highest common factor.
The factors of 3369 are 1, 3, 1123, 3369
The factors of 8522 are 1, 2, 4261, 8522
The HCF of 3369,8522 is 1.
Lets's calculate GCF of 3369,8522
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3369,8522 By Matching Biggest Common Factor Method
Now, list down the factors of 3369
:1,3,1123,3369
Now, list down the factors of 8522
:1,2,4261,8522
Greatest Common Factor
We found the factors 3369,8522 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,8522 is 1.
Lets's calculate LCM of 999,9876
| 3 | 999, 9876 |
| 333, 3292 |
∴ So the LCM of the given numbers is 3 x 333 x 3292 = 3288708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3288708
Therefore, the GCF of Fractions 3369/999,8522/9876 is 1/3288708
Least Common Multiple of 999,9876 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 999,9876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,9876) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,9876) x common factors =3 x 1 = 3
LCM(999,9876) = ( 999 × 9876 ) / 3
LCM(999,9876) = 9866124 / 3
LCM(999,9876) = 3288708
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FAQs on GCF of Fractions of 3369/999, 8522/9876
1. What is the HCF of 3369,8522?
The HCF of 3369,8522 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 3369/999, 8522/9876?
Answer: GCF of Numerators as per given numbers 3369/999, 8522/9876 is
GCF of Numerators i.e. for 3369,8522 is 1
LCM of denominators i.e. for 999,9876 is 3288708.
Thus, GCF of Fractions is 1/3288708.Finally, GCF of Fractions for 3369/999, 8522/9876 is 1/3288708.