GCF of 9714/270, 1646/3310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9714/270, 1646/3310 i.e 2/89370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9714/270, 1646/3310.
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 9714/270,1646/3310?
Given fractions are 9714/270,1646/3310
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 9714/270,1646/3310, numerators are 9714,1646
Denominators are 270,3310
The GCF of 9714,1646 is 2 .
LCM of 270,3310 is 89370.
The greatest common factor of 9714/270,1646/3310 = [GCF of 9714,1646]/[LCM of 270,3310]= 2/89370
Therefore, the GCF of 9714/270,1646/3310 is 2/89370.
To find the highest common factor of 9714,1646, we have to find the factors of both numbers and list the highest common factor.
The factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714
The factors of 1646 are 1, 2, 823, 1646
The HCF of 9714,1646 is 2.
Lets's calculate GCF of 9714,1646
| 2 | 9714, 1646 |
| 4857, 823 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9714,1646 By Matching Biggest Common Factor Method
Now, list down the factors of 9714
:1,2,3,6,1619,3238,4857,9714
Now, list down the factors of 1646
:1,2,823,1646
Greatest Common Factor
We found the factors 9714,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 9714,1646 is 2.
Lets's calculate LCM of 270,3310
| 2 | 270, 3310 |
| 5 | 135, 1655 |
| 27, 331 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 331 = 89370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89370
Therefore, the GCF of Fractions 9714/270,1646/3310 is 2/89370
Least Common Multiple of 270,3310 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 270,3310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3310) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3310) x common factors =10 x 1 = 10
LCM(270,3310) = ( 270 × 3310 ) / 10
LCM(270,3310) = 893700 / 10
LCM(270,3310) = 89370
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FAQs on GCF of Fractions of 9714/270, 1646/3310
1. What is the HCF of 9714,1646?
The HCF of 9714,1646 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 9714/270, 1646/3310?
Answer: GCF of Numerators as per given numbers 9714/270, 1646/3310 is
GCF of Numerators i.e. for 9714,1646 is 2
LCM of denominators i.e. for 270,3310 is 89370.
Thus, GCF of Fractions is 2/89370.Finally, GCF of Fractions for 9714/270, 1646/3310 is 2/89370.