GCF of 481/14, 988/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 481/14, 988/149 i.e 13/2086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/14, 988/149.
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 481/14,988/149?
Given fractions are 481/14,988/149
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 481/14,988/149, numerators are 481,988
Denominators are 14,149
The GCF of 481,988 is 13 .
LCM of 14,149 is 2086.
The greatest common factor of 481/14,988/149 = [GCF of 481,988]/[LCM of 14,149]= 13/2086
Therefore, the GCF of 481/14,988/149 is 13/2086.
To find the highest common factor of 481,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 481,988 is 13.
Lets's calculate GCF of 481,988
| 13 | 481, 988 |
| 37, 76 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 481,988 By Matching Biggest Common Factor Method
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 481,988 . The biggest common factor number is the GCF number.
So the greatest common factor 481,988 is 13.
Lets's calculate LCM of 14,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 2086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2086
Therefore, the GCF of Fractions 481/14,988/149 is 13/2086
Least Common Multiple of 14,149 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 14,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,149) x common factors =1 x 1 = 1
LCM(14,149) = ( 14 × 149 ) / 1
LCM(14,149) = 2086 / 1
LCM(14,149) = 2086
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FAQs on GCF of Fractions of 481/14, 988/149
1. What is the HCF of 481,988?
The HCF of 481,988 is 13
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 481/14, 988/149?
Answer: GCF of Numerators as per given numbers 481/14, 988/149 is
GCF of Numerators i.e. for 481,988 is 13
LCM of denominators i.e. for 14,149 is 2086.
Thus, GCF of Fractions is 13/2086.Finally, GCF of Fractions for 481/14, 988/149 is 13/2086.