GCF of 2458/459, 9988/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2458/459, 9988/717 i.e 2/109701 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2458/459, 9988/717.
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 2458/459,9988/717?
Given fractions are 2458/459,9988/717
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 2458/459,9988/717, numerators are 2458,9988
Denominators are 459,717
The GCF of 2458,9988 is 2 .
LCM of 459,717 is 109701.
The greatest common factor of 2458/459,9988/717 = [GCF of 2458,9988]/[LCM of 459,717]= 2/109701
Therefore, the GCF of 2458/459,9988/717 is 2/109701.
To find the highest common factor of 2458,9988, we have to find the factors of both numbers and list the highest common factor.
The factors of 2458 are 1, 2, 1229, 2458
The factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988
The HCF of 2458,9988 is 2.
Lets's calculate GCF of 2458,9988
| 2 | 2458, 9988 |
| 1229, 4994 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2458,9988 By Matching Biggest Common Factor Method
Now, list down the factors of 2458
:1,2,1229,2458
Now, list down the factors of 9988
:1,2,4,11,22,44,227,454,908,2497,4994,9988
Greatest Common Factor
We found the factors 2458,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 2458,9988 is 2.
Lets's calculate LCM of 459,717
| 3 | 459, 717 |
| 153, 239 |
∴ So the LCM of the given numbers is 3 x 153 x 239 = 109701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109701
Therefore, the GCF of Fractions 2458/459,9988/717 is 2/109701
Least Common Multiple of 459,717 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 459,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,717) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,717) x common factors =3 x 1 = 3
LCM(459,717) = ( 459 × 717 ) / 3
LCM(459,717) = 329103 / 3
LCM(459,717) = 109701
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FAQs on GCF of Fractions of 2458/459, 9988/717
1. What is the HCF of 2458,9988?
The HCF of 2458,9988 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 2458/459, 9988/717?
Answer: GCF of Numerators as per given numbers 2458/459, 9988/717 is
GCF of Numerators i.e. for 2458,9988 is 2
LCM of denominators i.e. for 459,717 is 109701.
Thus, GCF of Fractions is 2/109701.Finally, GCF of Fractions for 2458/459, 9988/717 is 2/109701.