GCF of 9966/278, 6590/5214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9966/278, 6590/5214 i.e 2/724746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9966/278, 6590/5214.
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 9966/278,6590/5214?
Given fractions are 9966/278,6590/5214
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 9966/278,6590/5214, numerators are 9966,6590
Denominators are 278,5214
The GCF of 9966,6590 is 2 .
LCM of 278,5214 is 724746.
The greatest common factor of 9966/278,6590/5214 = [GCF of 9966,6590]/[LCM of 278,5214]= 2/724746
Therefore, the GCF of 9966/278,6590/5214 is 2/724746.
To find the highest common factor of 9966,6590, we have to find the factors of both numbers and list the highest common factor.
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590
The HCF of 9966,6590 is 2.
Lets's calculate GCF of 9966,6590
| 2 | 9966, 6590 |
| 4983, 3295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9966,6590 By Matching Biggest Common Factor Method
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Now, list down the factors of 6590
:1,2,5,10,659,1318,3295,6590
Greatest Common Factor
We found the factors 9966,6590 . The biggest common factor number is the GCF number.
So the greatest common factor 9966,6590 is 2.
Lets's calculate LCM of 278,5214
| 2 | 278, 5214 |
| 139, 2607 |
∴ So the LCM of the given numbers is 2 x 139 x 2607 = 724746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/724746
Therefore, the GCF of Fractions 9966/278,6590/5214 is 2/724746
Least Common Multiple of 278,5214 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 278,5214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,5214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,5214) x common factors =2 x 1 = 2
LCM(278,5214) = ( 278 × 5214 ) / 2
LCM(278,5214) = 1449492 / 2
LCM(278,5214) = 724746
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FAQs on GCF of Fractions of 9966/278, 6590/5214
1. What is the HCF of 9966,6590?
The HCF of 9966,6590 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 9966/278, 6590/5214?
Answer: GCF of Numerators as per given numbers 9966/278, 6590/5214 is
GCF of Numerators i.e. for 9966,6590 is 2
LCM of denominators i.e. for 278,5214 is 724746.
Thus, GCF of Fractions is 2/724746.Finally, GCF of Fractions for 9966/278, 6590/5214 is 2/724746.