GCF of 867/491, 9654/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 867/491, 9654/249 i.e 3/122259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/491, 9654/249.
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 867/491,9654/249?
Given fractions are 867/491,9654/249
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 867/491,9654/249, numerators are 867,9654
Denominators are 491,249
The GCF of 867,9654 is 3 .
LCM of 491,249 is 122259.
The greatest common factor of 867/491,9654/249 = [GCF of 867,9654]/[LCM of 491,249]= 3/122259
Therefore, the GCF of 867/491,9654/249 is 3/122259.
To find the highest common factor of 867,9654, we have to find the factors of both numbers and list the highest common factor.
The factors of 867 are 1, 3, 17, 51, 289, 867
The factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654
The HCF of 867,9654 is 3.
Lets's calculate GCF of 867,9654
| 3 | 867, 9654 |
| 289, 3218 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 867,9654 By Matching Biggest Common Factor Method
Now, list down the factors of 867
:1,3,17,51,289,867
Now, list down the factors of 9654
:1,2,3,6,1609,3218,4827,9654
Greatest Common Factor
We found the factors 867,9654 . The biggest common factor number is the GCF number.
So the greatest common factor 867,9654 is 3.
Lets's calculate LCM of 491,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 122259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/122259
Therefore, the GCF of Fractions 867/491,9654/249 is 3/122259
Least Common Multiple of 491,249 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 491,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,249) x common factors =1 x 1 = 1
LCM(491,249) = ( 491 × 249 ) / 1
LCM(491,249) = 122259 / 1
LCM(491,249) = 122259
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FAQs on GCF of Fractions of 867/491, 9654/249
1. What is the HCF of 867,9654?
The HCF of 867,9654 is 3
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 867/491, 9654/249?
Answer: GCF of Numerators as per given numbers 867/491, 9654/249 is
GCF of Numerators i.e. for 867,9654 is 3
LCM of denominators i.e. for 491,249 is 122259.
Thus, GCF of Fractions is 3/122259.Finally, GCF of Fractions for 867/491, 9654/249 is 3/122259.