GCF of 3279/651, 1090/9990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3279/651, 1090/9990 i.e 1/2167830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3279/651, 1090/9990.
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 3279/651,1090/9990?
Given fractions are 3279/651,1090/9990
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 3279/651,1090/9990, numerators are 3279,1090
Denominators are 651,9990
The GCF of 3279,1090 is 1 .
LCM of 651,9990 is 2167830.
The greatest common factor of 3279/651,1090/9990 = [GCF of 3279,1090]/[LCM of 651,9990]= 1/2167830
Therefore, the GCF of 3279/651,1090/9990 is 1/2167830.
To find the highest common factor of 3279,1090, we have to find the factors of both numbers and list the highest common factor.
The factors of 3279 are 1, 3, 1093, 3279
The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090
The HCF of 3279,1090 is 1.
Lets's calculate GCF of 3279,1090
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3279,1090 By Matching Biggest Common Factor Method
Now, list down the factors of 3279
:1,3,1093,3279
Now, list down the factors of 1090
:1,2,5,10,109,218,545,1090
Greatest Common Factor
We found the factors 3279,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 3279,1090 is 1.
Lets's calculate LCM of 651,9990
| 3 | 651, 9990 |
| 217, 3330 |
∴ So the LCM of the given numbers is 3 x 217 x 3330 = 2167830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2167830
Therefore, the GCF of Fractions 3279/651,1090/9990 is 1/2167830
Least Common Multiple of 651,9990 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 651,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,9990) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,9990) x common factors =3 x 1 = 3
LCM(651,9990) = ( 651 × 9990 ) / 3
LCM(651,9990) = 6503490 / 3
LCM(651,9990) = 2167830
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FAQs on GCF of Fractions of 3279/651, 1090/9990
1. What is the HCF of 3279,1090?
The HCF of 3279,1090 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 3279/651, 1090/9990?
Answer: GCF of Numerators as per given numbers 3279/651, 1090/9990 is
GCF of Numerators i.e. for 3279,1090 is 1
LCM of denominators i.e. for 651,9990 is 2167830.
Thus, GCF of Fractions is 1/2167830.Finally, GCF of Fractions for 3279/651, 1090/9990 is 1/2167830.