GCF of 9898/596, 8384/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9898/596, 8384/488 i.e 2/72712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9898/596, 8384/488.
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 9898/596,8384/488?
Given fractions are 9898/596,8384/488
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 9898/596,8384/488, numerators are 9898,8384
Denominators are 596,488
The GCF of 9898,8384 is 2 .
LCM of 596,488 is 72712.
The greatest common factor of 9898/596,8384/488 = [GCF of 9898,8384]/[LCM of 596,488]= 2/72712
Therefore, the GCF of 9898/596,8384/488 is 2/72712.
To find the highest common factor of 9898,8384, we have to find the factors of both numbers and list the highest common factor.
The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898
The factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384
The HCF of 9898,8384 is 2.
Lets's calculate GCF of 9898,8384
| 2 | 9898, 8384 |
| 4949, 4192 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9898,8384 By Matching Biggest Common Factor Method
Now, list down the factors of 9898
:1,2,7,14,49,98,101,202,707,1414,4949,9898
Now, list down the factors of 8384
:1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384
Greatest Common Factor
We found the factors 9898,8384 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,8384 is 2.
Lets's calculate LCM of 596,488
| 2 | 596, 488 |
| 2 | 298, 244 |
| 149, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 122 = 72712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72712
Therefore, the GCF of Fractions 9898/596,8384/488 is 2/72712
Least Common Multiple of 596,488 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 596,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,488) x common factors =4 x 1 = 4
LCM(596,488) = ( 596 × 488 ) / 4
LCM(596,488) = 290848 / 4
LCM(596,488) = 72712
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FAQs on GCF of Fractions of 9898/596, 8384/488
1. What is the HCF of 9898,8384?
The HCF of 9898,8384 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 9898/596, 8384/488?
Answer: GCF of Numerators as per given numbers 9898/596, 8384/488 is
GCF of Numerators i.e. for 9898,8384 is 2
LCM of denominators i.e. for 596,488 is 72712.
Thus, GCF of Fractions is 2/72712.Finally, GCF of Fractions for 9898/596, 8384/488 is 2/72712.