GCF of 9746/242, 2407/8428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9746/242, 2407/8428 i.e 1/1019788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9746/242, 2407/8428.
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 9746/242,2407/8428?
Given fractions are 9746/242,2407/8428
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 9746/242,2407/8428, numerators are 9746,2407
Denominators are 242,8428
The GCF of 9746,2407 is 1 .
LCM of 242,8428 is 1019788.
The greatest common factor of 9746/242,2407/8428 = [GCF of 9746,2407]/[LCM of 242,8428]= 1/1019788
Therefore, the GCF of 9746/242,2407/8428 is 1/1019788.
To find the highest common factor of 9746,2407, we have to find the factors of both numbers and list the highest common factor.
The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746
The factors of 2407 are 1, 29, 83, 2407
The HCF of 9746,2407 is 1.
Lets's calculate GCF of 9746,2407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9746,2407 By Matching Biggest Common Factor Method
Now, list down the factors of 9746
:1,2,11,22,443,886,4873,9746
Now, list down the factors of 2407
:1,29,83,2407
Greatest Common Factor
We found the factors 9746,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,2407 is 1.
Lets's calculate LCM of 242,8428
| 2 | 242, 8428 |
| 121, 4214 |
∴ So the LCM of the given numbers is 2 x 121 x 4214 = 1019788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1019788
Therefore, the GCF of Fractions 9746/242,2407/8428 is 1/1019788
Least Common Multiple of 242,8428 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 242,8428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,8428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,8428) x common factors =2 x 1 = 2
LCM(242,8428) = ( 242 × 8428 ) / 2
LCM(242,8428) = 2039576 / 2
LCM(242,8428) = 1019788
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FAQs on GCF of Fractions of 9746/242, 2407/8428
1. What is the HCF of 9746,2407?
The HCF of 9746,2407 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 9746/242, 2407/8428?
Answer: GCF of Numerators as per given numbers 9746/242, 2407/8428 is
GCF of Numerators i.e. for 9746,2407 is 1
LCM of denominators i.e. for 242,8428 is 1019788.
Thus, GCF of Fractions is 1/1019788.Finally, GCF of Fractions for 9746/242, 2407/8428 is 1/1019788.