GCF of 9969/840, 8478/6470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9969/840, 8478/6470 i.e 3/543480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9969/840, 8478/6470.
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 9969/840,8478/6470?
Given fractions are 9969/840,8478/6470
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 9969/840,8478/6470, numerators are 9969,8478
Denominators are 840,6470
The GCF of 9969,8478 is 3 .
LCM of 840,6470 is 543480.
The greatest common factor of 9969/840,8478/6470 = [GCF of 9969,8478]/[LCM of 840,6470]= 3/543480
Therefore, the GCF of 9969/840,8478/6470 is 3/543480.
To find the highest common factor of 9969,8478, we have to find the factors of both numbers and list the highest common factor.
The factors of 9969 are 1, 3, 3323, 9969
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The HCF of 9969,8478 is 3.
Lets's calculate GCF of 9969,8478
| 3 | 9969, 8478 |
| 3323, 2826 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9969,8478 By Matching Biggest Common Factor Method
Now, list down the factors of 9969
:1,3,3323,9969
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Greatest Common Factor
We found the factors 9969,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 9969,8478 is 3.
Lets's calculate LCM of 840,6470
| 2 | 840, 6470 |
| 5 | 420, 3235 |
| 84, 647 |
∴ So the LCM of the given numbers is 2 x 5 x 84 x 647 = 543480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/543480
Therefore, the GCF of Fractions 9969/840,8478/6470 is 3/543480
Least Common Multiple of 840,6470 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 840,6470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6470) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6470) x common factors =10 x 1 = 10
LCM(840,6470) = ( 840 × 6470 ) / 10
LCM(840,6470) = 5434800 / 10
LCM(840,6470) = 543480
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9969/840, 8478/6470
1. What is the HCF of 9969,8478?
The HCF of 9969,8478 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 9969/840, 8478/6470?
Answer: GCF of Numerators as per given numbers 9969/840, 8478/6470 is
GCF of Numerators i.e. for 9969,8478 is 3
LCM of denominators i.e. for 840,6470 is 543480.
Thus, GCF of Fractions is 3/543480.Finally, GCF of Fractions for 9969/840, 8478/6470 is 3/543480.