GCF of 805/68, 259/84, 419/99
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 805/68, 259/84, 419/99 i.e 1/47124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 805/68, 259/84, 419/99.
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 805/68,259/84,419/99?
Given fractions are 805/68,259/84,419/99
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 805/68,259/84,419/99, numerators are 805,259,419
Denominators are 68,84,99
The GCF of 805,259,419 is 1 .
LCM of 68,84,99 is 47124.
The greatest common factor of 805/68,259/84,419/99 = [GCF of 805,259,419]/[LCM of 68,84,99]= 1/47124
Therefore, the GCF of 805/68,259/84,419/99 is 1/47124.
To find the highest common factor of 805,259,419, we have to find the factors of both numbers and list the highest common factor.
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 259 are 1, 7, 37, 259
The factors of 419 are 1, 419
The HCF of 805,259,419 is 1.
Lets's calculate GCF of 805,259,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 805,259,419 By Matching Biggest Common Factor Method
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 259
:1,7,37,259
Now, list down the factors of 419
:1,419
Greatest Common Factor
We found the factors 805,259,419 . The biggest common factor number is the GCF number.
So the greatest common factor 805,259,419 is 1.
Lets's calculate LCM of 68,84,99
| 2 | 68, 84, 99 |
| 2 | 34, 42, 99 |
| 3 | 17, 21, 99 |
| 17, 7, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 33 = 47124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47124
Therefore, the GCF of Fractions 805/68,259/84,419/99 is 1/47124
Least Common Multiple of 68,84,99 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 68,84,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,84,99) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(68,84,99) x common factors =1 x 12 = 12
LCM(68,84,99) = ( 68 × 84 × 99 ) / 12
LCM(68,84,99) = 565488 / 12
LCM(68,84,99) = 47124
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FAQs on GCF of Fractions of 805/68, 259/84, 419/99
1. What is the HCF of 805,259,419?
The HCF of 805,259,419 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 805/68, 259/84, 419/99?
Answer: GCF of Numerators as per given numbers 805/68, 259/84, 419/99 is
GCF of Numerators i.e. for 805,259,419 is 1
LCM of denominators i.e. for 68,84,99 is 47124.
Thus, GCF of Fractions is 1/47124.Finally, GCF of Fractions for 805/68, 259/84, 419/99 is 1/47124.