GCF of 8921/230, 9794/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8921/230, 9794/149 i.e 1/34270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8921/230, 9794/149.
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 8921/230,9794/149?
Given fractions are 8921/230,9794/149
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 8921/230,9794/149, numerators are 8921,9794
Denominators are 230,149
The GCF of 8921,9794 is 1 .
LCM of 230,149 is 34270.
The greatest common factor of 8921/230,9794/149 = [GCF of 8921,9794]/[LCM of 230,149]= 1/34270
Therefore, the GCF of 8921/230,9794/149 is 1/34270.
To find the highest common factor of 8921,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 8921 are 1, 11, 811, 8921
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 8921,9794 is 1.
Lets's calculate GCF of 8921,9794
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8921,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 8921
:1,11,811,8921
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 8921,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 8921,9794 is 1.
Lets's calculate LCM of 230,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 34270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34270
Therefore, the GCF of Fractions 8921/230,9794/149 is 1/34270
Least Common Multiple of 230,149 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 230,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,149) x common factors =1 x 1 = 1
LCM(230,149) = ( 230 × 149 ) / 1
LCM(230,149) = 34270 / 1
LCM(230,149) = 34270
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FAQs on GCF of Fractions of 8921/230, 9794/149
1. What is the HCF of 8921,9794?
The HCF of 8921,9794 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 8921/230, 9794/149?
Answer: GCF of Numerators as per given numbers 8921/230, 9794/149 is
GCF of Numerators i.e. for 8921,9794 is 1
LCM of denominators i.e. for 230,149 is 34270.
Thus, GCF of Fractions is 1/34270.Finally, GCF of Fractions for 8921/230, 9794/149 is 1/34270.