GCF of 9686/999, 9554/4980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9686/999, 9554/4980 i.e 2/1658340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9686/999, 9554/4980.
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 9686/999,9554/4980?
Given fractions are 9686/999,9554/4980
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 9686/999,9554/4980, numerators are 9686,9554
Denominators are 999,4980
The GCF of 9686,9554 is 2 .
LCM of 999,4980 is 1658340.
The greatest common factor of 9686/999,9554/4980 = [GCF of 9686,9554]/[LCM of 999,4980]= 2/1658340
Therefore, the GCF of 9686/999,9554/4980 is 2/1658340.
To find the highest common factor of 9686,9554, we have to find the factors of both numbers and list the highest common factor.
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The factors of 9554 are 1, 2, 17, 34, 281, 562, 4777, 9554
The HCF of 9686,9554 is 2.
Lets's calculate GCF of 9686,9554
| 2 | 9686, 9554 |
| 4843, 4777 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9686,9554 By Matching Biggest Common Factor Method
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Now, list down the factors of 9554
:1,2,17,34,281,562,4777,9554
Greatest Common Factor
We found the factors 9686,9554 . The biggest common factor number is the GCF number.
So the greatest common factor 9686,9554 is 2.
Lets's calculate LCM of 999,4980
| 3 | 999, 4980 |
| 333, 1660 |
∴ So the LCM of the given numbers is 3 x 333 x 1660 = 1658340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1658340
Therefore, the GCF of Fractions 9686/999,9554/4980 is 2/1658340
Least Common Multiple of 999,4980 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 999,4980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,4980) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,4980) x common factors =3 x 1 = 3
LCM(999,4980) = ( 999 × 4980 ) / 3
LCM(999,4980) = 4975020 / 3
LCM(999,4980) = 1658340
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FAQs on GCF of Fractions of 9686/999, 9554/4980
1. What is the HCF of 9686,9554?
The HCF of 9686,9554 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 9686/999, 9554/4980?
Answer: GCF of Numerators as per given numbers 9686/999, 9554/4980 is
GCF of Numerators i.e. for 9686,9554 is 2
LCM of denominators i.e. for 999,4980 is 1658340.
Thus, GCF of Fractions is 2/1658340.Finally, GCF of Fractions for 9686/999, 9554/4980 is 2/1658340.