GCF of 847/298, 582/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 847/298, 582/449 i.e 1/133802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/298, 582/449.
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 847/298,582/449?
Given fractions are 847/298,582/449
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 847/298,582/449, numerators are 847,582
Denominators are 298,449
The GCF of 847,582 is 1 .
LCM of 298,449 is 133802.
The greatest common factor of 847/298,582/449 = [GCF of 847,582]/[LCM of 298,449]= 1/133802
Therefore, the GCF of 847/298,582/449 is 1/133802.
To find the highest common factor of 847,582, we have to find the factors of both numbers and list the highest common factor.
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 847,582 is 1.
Lets's calculate GCF of 847,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 847,582 By Matching Biggest Common Factor Method
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 847,582 . The biggest common factor number is the GCF number.
So the greatest common factor 847,582 is 1.
Lets's calculate LCM of 298,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 133802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133802
Therefore, the GCF of Fractions 847/298,582/449 is 1/133802
Least Common Multiple of 298,449 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 298,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,449) x common factors =1 x 1 = 1
LCM(298,449) = ( 298 × 449 ) / 1
LCM(298,449) = 133802 / 1
LCM(298,449) = 133802
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FAQs on GCF of Fractions of 847/298, 582/449
1. What is the HCF of 847,582?
The HCF of 847,582 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 847/298, 582/449?
Answer: GCF of Numerators as per given numbers 847/298, 582/449 is
GCF of Numerators i.e. for 847,582 is 1
LCM of denominators i.e. for 298,449 is 133802.
Thus, GCF of Fractions is 1/133802.Finally, GCF of Fractions for 847/298, 582/449 is 1/133802.