GCF of 5848/112, 8457/9854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5848/112, 8457/9854 i.e 1/551824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5848/112, 8457/9854.
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 5848/112,8457/9854?
Given fractions are 5848/112,8457/9854
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 5848/112,8457/9854, numerators are 5848,8457
Denominators are 112,9854
The GCF of 5848,8457 is 1 .
LCM of 112,9854 is 551824.
The greatest common factor of 5848/112,8457/9854 = [GCF of 5848,8457]/[LCM of 112,9854]= 1/551824
Therefore, the GCF of 5848/112,8457/9854 is 1/551824.
To find the highest common factor of 5848,8457, 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 8457 are 1, 3, 2819, 8457
The HCF of 5848,8457 is 1.
Lets's calculate GCF of 5848,8457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5848,8457 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 8457
:1,3,2819,8457
Greatest Common Factor
We found the factors 5848,8457 . The biggest common factor number is the GCF number.
So the greatest common factor 5848,8457 is 1.
Lets's calculate LCM of 112,9854
| 2 | 112, 9854 |
| 56, 4927 |
∴ So the LCM of the given numbers is 2 x 56 x 4927 = 551824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551824
Therefore, the GCF of Fractions 5848/112,8457/9854 is 1/551824
Least Common Multiple of 112,9854 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 112,9854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,9854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(112,9854) x common factors =2 x 1 = 2
LCM(112,9854) = ( 112 × 9854 ) / 2
LCM(112,9854) = 1103648 / 2
LCM(112,9854) = 551824
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FAQs on GCF of Fractions of 5848/112, 8457/9854
1. What is the HCF of 5848,8457?
The HCF of 5848,8457 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 5848/112, 8457/9854?
Answer: GCF of Numerators as per given numbers 5848/112, 8457/9854 is
GCF of Numerators i.e. for 5848,8457 is 1
LCM of denominators i.e. for 112,9854 is 551824.
Thus, GCF of Fractions is 1/551824.Finally, GCF of Fractions for 5848/112, 8457/9854 is 1/551824.