GCF of 911/84, 398/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 911/84, 398/289 i.e 1/24276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/84, 398/289.
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 911/84,398/289?
Given fractions are 911/84,398/289
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 911/84,398/289, numerators are 911,398
Denominators are 84,289
The GCF of 911,398 is 1 .
LCM of 84,289 is 24276.
The greatest common factor of 911/84,398/289 = [GCF of 911,398]/[LCM of 84,289]= 1/24276
Therefore, the GCF of 911/84,398/289 is 1/24276.
To find the highest common factor of 911,398, we have to find the factors of both numbers and list the highest common factor.
The factors of 911 are 1, 911
The factors of 398 are 1, 2, 199, 398
The HCF of 911,398 is 1.
Lets's calculate GCF of 911,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 911,398 By Matching Biggest Common Factor Method
Now, list down the factors of 911
:1,911
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 911,398 . The biggest common factor number is the GCF number.
So the greatest common factor 911,398 is 1.
Lets's calculate LCM of 84,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 24276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24276
Therefore, the GCF of Fractions 911/84,398/289 is 1/24276
Least Common Multiple of 84,289 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 84,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,289) x common factors =1 x 1 = 1
LCM(84,289) = ( 84 × 289 ) / 1
LCM(84,289) = 24276 / 1
LCM(84,289) = 24276
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 911/84, 398/289
1. What is the HCF of 911,398?
The HCF of 911,398 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 911/84, 398/289?
Answer: GCF of Numerators as per given numbers 911/84, 398/289 is
GCF of Numerators i.e. for 911,398 is 1
LCM of denominators i.e. for 84,289 is 24276.
Thus, GCF of Fractions is 1/24276.Finally, GCF of Fractions for 911/84, 398/289 is 1/24276.