GCF of 848/162, 730/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 848/162, 730/259 i.e 2/41958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/162, 730/259.
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 848/162,730/259?
Given fractions are 848/162,730/259
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 848/162,730/259, numerators are 848,730
Denominators are 162,259
The GCF of 848,730 is 2 .
LCM of 162,259 is 41958.
The greatest common factor of 848/162,730/259 = [GCF of 848,730]/[LCM of 162,259]= 2/41958
Therefore, the GCF of 848/162,730/259 is 2/41958.
To find the highest common factor of 848,730, we have to find the factors of both numbers and list the highest common factor.
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The HCF of 848,730 is 2.
Lets's calculate GCF of 848,730
| 2 | 848, 730 |
| 424, 365 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 848,730 By Matching Biggest Common Factor Method
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 848,730 . The biggest common factor number is the GCF number.
So the greatest common factor 848,730 is 2.
Lets's calculate LCM of 162,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 41958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41958
Therefore, the GCF of Fractions 848/162,730/259 is 2/41958
Least Common Multiple of 162,259 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 162,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,259) x common factors =1 x 1 = 1
LCM(162,259) = ( 162 × 259 ) / 1
LCM(162,259) = 41958 / 1
LCM(162,259) = 41958
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FAQs on GCF of Fractions of 848/162, 730/259
1. What is the HCF of 848,730?
The HCF of 848,730 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 848/162, 730/259?
Answer: GCF of Numerators as per given numbers 848/162, 730/259 is
GCF of Numerators i.e. for 848,730 is 2
LCM of denominators i.e. for 162,259 is 41958.
Thus, GCF of Fractions is 2/41958.Finally, GCF of Fractions for 848/162, 730/259 is 2/41958.