GCF of 1671/990, 8703/7230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1671/990, 8703/7230 i.e 3/238590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1671/990, 8703/7230.
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 1671/990,8703/7230?
Given fractions are 1671/990,8703/7230
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 1671/990,8703/7230, numerators are 1671,8703
Denominators are 990,7230
The GCF of 1671,8703 is 3 .
LCM of 990,7230 is 238590.
The greatest common factor of 1671/990,8703/7230 = [GCF of 1671,8703]/[LCM of 990,7230]= 3/238590
Therefore, the GCF of 1671/990,8703/7230 is 3/238590.
To find the highest common factor of 1671,8703, we have to find the factors of both numbers and list the highest common factor.
The factors of 1671 are 1, 3, 557, 1671
The factors of 8703 are 1, 3, 9, 967, 2901, 8703
The HCF of 1671,8703 is 3.
Lets's calculate GCF of 1671,8703
| 3 | 1671, 8703 |
| 557, 2901 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1671,8703 By Matching Biggest Common Factor Method
Now, list down the factors of 1671
:1,3,557,1671
Now, list down the factors of 8703
:1,3,9,967,2901,8703
Greatest Common Factor
We found the factors 1671,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 1671,8703 is 3.
Lets's calculate LCM of 990,7230
| 2 | 990, 7230 |
| 3 | 495, 3615 |
| 5 | 165, 1205 |
| 33, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 241 = 238590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238590
Therefore, the GCF of Fractions 1671/990,8703/7230 is 3/238590
Least Common Multiple of 990,7230 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 990,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,7230) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(990,7230) x common factors =30 x 1 = 30
LCM(990,7230) = ( 990 × 7230 ) / 30
LCM(990,7230) = 7157700 / 30
LCM(990,7230) = 238590
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FAQs on GCF of Fractions of 1671/990, 8703/7230
1. What is the HCF of 1671,8703?
The HCF of 1671,8703 is 3
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 1671/990, 8703/7230?
Answer: GCF of Numerators as per given numbers 1671/990, 8703/7230 is
GCF of Numerators i.e. for 1671,8703 is 3
LCM of denominators i.e. for 990,7230 is 238590.
Thus, GCF of Fractions is 3/238590.Finally, GCF of Fractions for 1671/990, 8703/7230 is 3/238590.