GCF of 9996/334, 2869/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9996/334, 2869/982 i.e 1/163994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9996/334, 2869/982.
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 9996/334,2869/982?
Given fractions are 9996/334,2869/982
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 9996/334,2869/982, numerators are 9996,2869
Denominators are 334,982
The GCF of 9996,2869 is 1 .
LCM of 334,982 is 163994.
The greatest common factor of 9996/334,2869/982 = [GCF of 9996,2869]/[LCM of 334,982]= 1/163994
Therefore, the GCF of 9996/334,2869/982 is 1/163994.
To find the highest common factor of 9996,2869, we have to find the factors of both numbers and list the highest common factor.
The factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996
The factors of 2869 are 1, 19, 151, 2869
The HCF of 9996,2869 is 1.
Lets's calculate GCF of 9996,2869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9996,2869 By Matching Biggest Common Factor Method
Now, list down the factors of 9996
:1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996
Now, list down the factors of 2869
:1,19,151,2869
Greatest Common Factor
We found the factors 9996,2869 . The biggest common factor number is the GCF number.
So the greatest common factor 9996,2869 is 1.
Lets's calculate LCM of 334,982
| 2 | 334, 982 |
| 167, 491 |
∴ So the LCM of the given numbers is 2 x 167 x 491 = 163994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163994
Therefore, the GCF of Fractions 9996/334,2869/982 is 1/163994
Least Common Multiple of 334,982 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 334,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,982) x common factors =2 x 1 = 2
LCM(334,982) = ( 334 × 982 ) / 2
LCM(334,982) = 327988 / 2
LCM(334,982) = 163994
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FAQs on GCF of Fractions of 9996/334, 2869/982
1. What is the HCF of 9996,2869?
The HCF of 9996,2869 is 1
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 9996/334, 2869/982?
Answer: GCF of Numerators as per given numbers 9996/334, 2869/982 is
GCF of Numerators i.e. for 9996,2869 is 1
LCM of denominators i.e. for 334,982 is 163994.
Thus, GCF of Fractions is 1/163994.Finally, GCF of Fractions for 9996/334, 2869/982 is 1/163994.