GCF of 8332/990, 6534/4890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8332/990, 6534/4890 i.e 2/161370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8332/990, 6534/4890.
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 8332/990,6534/4890?
Given fractions are 8332/990,6534/4890
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 8332/990,6534/4890, numerators are 8332,6534
Denominators are 990,4890
The GCF of 8332,6534 is 2 .
LCM of 990,4890 is 161370.
The greatest common factor of 8332/990,6534/4890 = [GCF of 8332,6534]/[LCM of 990,4890]= 2/161370
Therefore, the GCF of 8332/990,6534/4890 is 2/161370.
To find the highest common factor of 8332,6534, we have to find the factors of both numbers and list the highest common factor.
The factors of 8332 are 1, 2, 4, 2083, 4166, 8332
The factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534
The HCF of 8332,6534 is 2.
Lets's calculate GCF of 8332,6534
| 2 | 8332, 6534 |
| 4166, 3267 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8332,6534 By Matching Biggest Common Factor Method
Now, list down the factors of 8332
:1,2,4,2083,4166,8332
Now, list down the factors of 6534
:1,2,3,6,9,11,18,22,27,33,54,66,99,121,198,242,297,363,594,726,1089,2178,3267,6534
Greatest Common Factor
We found the factors 8332,6534 . The biggest common factor number is the GCF number.
So the greatest common factor 8332,6534 is 2.
Lets's calculate LCM of 990,4890
| 2 | 990, 4890 |
| 3 | 495, 2445 |
| 5 | 165, 815 |
| 33, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 163 = 161370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161370
Therefore, the GCF of Fractions 8332/990,6534/4890 is 2/161370
Least Common Multiple of 990,4890 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 990,4890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,4890) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(990,4890) x common factors =30 x 1 = 30
LCM(990,4890) = ( 990 × 4890 ) / 30
LCM(990,4890) = 4841100 / 30
LCM(990,4890) = 161370
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8332/990, 6534/4890
1. What is the HCF of 8332,6534?
The HCF of 8332,6534 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 8332/990, 6534/4890?
Answer: GCF of Numerators as per given numbers 8332/990, 6534/4890 is
GCF of Numerators i.e. for 8332,6534 is 2
LCM of denominators i.e. for 990,4890 is 161370.
Thus, GCF of Fractions is 2/161370.Finally, GCF of Fractions for 8332/990, 6534/4890 is 2/161370.