GCF of 909/998, 134/705, 533/725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 909/998, 134/705, 533/725 i.e 1/102020550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/998, 134/705, 533/725.
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 909/998,134/705,533/725?
Given fractions are 909/998,134/705,533/725
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 909/998,134/705,533/725, numerators are 909,134,533
Denominators are 998,705,725
The GCF of 909,134,533 is 1 .
LCM of 998,705,725 is 102020550.
The greatest common factor of 909/998,134/705,533/725 = [GCF of 909,134,533]/[LCM of 998,705,725]= 1/102020550
Therefore, the GCF of 909/998,134/705,533/725 is 1/102020550.
To find the highest common factor of 909,134,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 134 are 1, 2, 67, 134
The factors of 533 are 1, 13, 41, 533
The HCF of 909,134,533 is 1.
Lets's calculate GCF of 909,134,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 909,134,533 By Matching Biggest Common Factor Method
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 134
:1,2,67,134
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 909,134,533 . The biggest common factor number is the GCF number.
So the greatest common factor 909,134,533 is 1.
Lets's calculate LCM of 998,705,725
| 5 | 998, 705, 725 |
| 998, 141, 145 |
∴ So the LCM of the given numbers is 5 x 998 x 141 x 145 = 102020550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102020550
Therefore, the GCF of Fractions 909/998,134/705,533/725 is 1/102020550
Least Common Multiple of 998,705,725 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 998,705,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,705,725) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(998,705,725) x common factors =1 x 5 = 5
LCM(998,705,725) = ( 998 × 705 × 725 ) / 5
LCM(998,705,725) = 510102750 / 5
LCM(998,705,725) = 102020550
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FAQs on GCF of Fractions of 909/998, 134/705, 533/725
1. What is the HCF of 909,134,533?
The HCF of 909,134,533 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 909/998, 134/705, 533/725?
Answer: GCF of Numerators as per given numbers 909/998, 134/705, 533/725 is
GCF of Numerators i.e. for 909,134,533 is 1
LCM of denominators i.e. for 998,705,725 is 102020550.
Thus, GCF of Fractions is 1/102020550.Finally, GCF of Fractions for 909/998, 134/705, 533/725 is 1/102020550.