GCF of 5848/672, 9398/8392
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5848/672, 9398/8392 i.e 2/704928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5848/672, 9398/8392.
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 5848/672,9398/8392?
Given fractions are 5848/672,9398/8392
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 5848/672,9398/8392, numerators are 5848,9398
Denominators are 672,8392
The GCF of 5848,9398 is 2 .
LCM of 672,8392 is 704928.
The greatest common factor of 5848/672,9398/8392 = [GCF of 5848,9398]/[LCM of 672,8392]= 2/704928
Therefore, the GCF of 5848/672,9398/8392 is 2/704928.
To find the highest common factor of 5848,9398, we have to find the factors of both numbers and list the highest common factor.
The factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848
The factors of 9398 are 1, 2, 37, 74, 127, 254, 4699, 9398
The HCF of 5848,9398 is 2.
Lets's calculate GCF of 5848,9398
| 2 | 5848, 9398 |
| 2924, 4699 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5848,9398 By Matching Biggest Common Factor Method
Now, list down the factors of 5848
:1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848
Now, list down the factors of 9398
:1,2,37,74,127,254,4699,9398
Greatest Common Factor
We found the factors 5848,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,9398 is 2.
Lets's calculate LCM of 672,8392
| 2 | 672, 8392 |
| 2 | 336, 4196 |
| 2 | 168, 2098 |
| 84, 1049 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 84 x 1049 = 704928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/704928
Therefore, the GCF of Fractions 5848/672,9398/8392 is 2/704928
Least Common Multiple of 672,8392 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 672,8392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,8392) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(672,8392) x common factors =8 x 1 = 8
LCM(672,8392) = ( 672 × 8392 ) / 8
LCM(672,8392) = 5639424 / 8
LCM(672,8392) = 704928
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FAQs on GCF of Fractions of 5848/672, 9398/8392
1. What is the HCF of 5848,9398?
The HCF of 5848,9398 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 5848/672, 9398/8392?
Answer: GCF of Numerators as per given numbers 5848/672, 9398/8392 is
GCF of Numerators i.e. for 5848,9398 is 2
LCM of denominators i.e. for 672,8392 is 704928.
Thus, GCF of Fractions is 2/704928.Finally, GCF of Fractions for 5848/672, 9398/8392 is 2/704928.