GCF of 9897/670, 1314/6282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9897/670, 1314/6282 i.e 3/2104470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9897/670, 1314/6282.
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 9897/670,1314/6282?
Given fractions are 9897/670,1314/6282
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 9897/670,1314/6282, numerators are 9897,1314
Denominators are 670,6282
The GCF of 9897,1314 is 3 .
LCM of 670,6282 is 2104470.
The greatest common factor of 9897/670,1314/6282 = [GCF of 9897,1314]/[LCM of 670,6282]= 3/2104470
Therefore, the GCF of 9897/670,1314/6282 is 3/2104470.
To find the highest common factor of 9897,1314, we have to find the factors of both numbers and list the highest common factor.
The factors of 9897 are 1, 3, 3299, 9897
The factors of 1314 are 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
The HCF of 9897,1314 is 3.
Lets's calculate GCF of 9897,1314
| 3 | 9897, 1314 |
| 3299, 438 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9897,1314 By Matching Biggest Common Factor Method
Now, list down the factors of 9897
:1,3,3299,9897
Now, list down the factors of 1314
:1,2,3,6,9,18,73,146,219,438,657,1314
Greatest Common Factor
We found the factors 9897,1314 . The biggest common factor number is the GCF number.
So the greatest common factor 9897,1314 is 3.
Lets's calculate LCM of 670,6282
| 2 | 670, 6282 |
| 335, 3141 |
∴ So the LCM of the given numbers is 2 x 335 x 3141 = 2104470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2104470
Therefore, the GCF of Fractions 9897/670,1314/6282 is 3/2104470
Least Common Multiple of 670,6282 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 670,6282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,6282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,6282) x common factors =2 x 1 = 2
LCM(670,6282) = ( 670 × 6282 ) / 2
LCM(670,6282) = 4208940 / 2
LCM(670,6282) = 2104470
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FAQs on GCF of Fractions of 9897/670, 1314/6282
1. What is the HCF of 9897,1314?
The HCF of 9897,1314 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 9897/670, 1314/6282?
Answer: GCF of Numerators as per given numbers 9897/670, 1314/6282 is
GCF of Numerators i.e. for 9897,1314 is 3
LCM of denominators i.e. for 670,6282 is 2104470.
Thus, GCF of Fractions is 3/2104470.Finally, GCF of Fractions for 9897/670, 1314/6282 is 3/2104470.