GCF of 7836/848, 9358/4847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7836/848, 9358/4847 i.e 2/4110256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7836/848, 9358/4847.
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 7836/848,9358/4847?
Given fractions are 7836/848,9358/4847
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 7836/848,9358/4847, numerators are 7836,9358
Denominators are 848,4847
The GCF of 7836,9358 is 2 .
LCM of 848,4847 is 4110256.
The greatest common factor of 7836/848,9358/4847 = [GCF of 7836,9358]/[LCM of 848,4847]= 2/4110256
Therefore, the GCF of 7836/848,9358/4847 is 2/4110256.
To find the highest common factor of 7836,9358, we have to find the factors of both numbers and list the highest common factor.
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The factors of 9358 are 1, 2, 4679, 9358
The HCF of 7836,9358 is 2.
Lets's calculate GCF of 7836,9358
| 2 | 7836, 9358 |
| 3918, 4679 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7836,9358 By Matching Biggest Common Factor Method
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Now, list down the factors of 9358
:1,2,4679,9358
Greatest Common Factor
We found the factors 7836,9358 . The biggest common factor number is the GCF number.
So the greatest common factor 7836,9358 is 2.
Lets's calculate LCM of 848,4847
Given numbers has no common factors except 1. So, there LCM is their product i.e 4110256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4110256
Therefore, the GCF of Fractions 7836/848,9358/4847 is 2/4110256
Least Common Multiple of 848,4847 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 848,4847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,4847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,4847) x common factors =1 x 1 = 1
LCM(848,4847) = ( 848 × 4847 ) / 1
LCM(848,4847) = 4110256 / 1
LCM(848,4847) = 4110256
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FAQs on GCF of Fractions of 7836/848, 9358/4847
1. What is the HCF of 7836,9358?
The HCF of 7836,9358 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 7836/848, 9358/4847?
Answer: GCF of Numerators as per given numbers 7836/848, 9358/4847 is
GCF of Numerators i.e. for 7836,9358 is 2
LCM of denominators i.e. for 848,4847 is 4110256.
Thus, GCF of Fractions is 2/4110256.Finally, GCF of Fractions for 7836/848, 9358/4847 is 2/4110256.