GCF of 994/160, 3863/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/160, 3863/120 i.e 1/480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/160, 3863/120.
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 994/160,3863/120?
Given fractions are 994/160,3863/120
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 994/160,3863/120, numerators are 994,3863
Denominators are 160,120
The GCF of 994,3863 is 1 .
LCM of 160,120 is 480.
The greatest common factor of 994/160,3863/120 = [GCF of 994,3863]/[LCM of 160,120]= 1/480
Therefore, the GCF of 994/160,3863/120 is 1/480.
To find the highest common factor of 994,3863, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 3863 are 1, 3863
The HCF of 994,3863 is 1.
Lets's calculate GCF of 994,3863
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 994,3863 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 3863
:1,3863
Greatest Common Factor
We found the factors 994,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 994,3863 is 1.
Lets's calculate LCM of 160,120
| 2 | 160, 120 |
| 2 | 80, 60 |
| 2 | 40, 30 |
| 5 | 20, 15 |
| 4, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 4 x 3 = 480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480
Therefore, the GCF of Fractions 994/160,3863/120 is 1/480
Least Common Multiple of 160,120 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 160,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,120) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(160,120) x common factors =40 x 1 = 40
LCM(160,120) = ( 160 × 120 ) / 40
LCM(160,120) = 19200 / 40
LCM(160,120) = 480
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FAQs on GCF of Fractions of 994/160, 3863/120
1. What is the HCF of 994,3863?
The HCF of 994,3863 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 994/160, 3863/120?
Answer: GCF of Numerators as per given numbers 994/160, 3863/120 is
GCF of Numerators i.e. for 994,3863 is 1
LCM of denominators i.e. for 160,120 is 480.
Thus, GCF of Fractions is 1/480.Finally, GCF of Fractions for 994/160, 3863/120 is 1/480.