GCF of 9289/262, 1962/5098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9289/262, 1962/5098 i.e 1/667838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9289/262, 1962/5098.
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 9289/262,1962/5098?
Given fractions are 9289/262,1962/5098
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 9289/262,1962/5098, numerators are 9289,1962
Denominators are 262,5098
The GCF of 9289,1962 is 1 .
LCM of 262,5098 is 667838.
The greatest common factor of 9289/262,1962/5098 = [GCF of 9289,1962]/[LCM of 262,5098]= 1/667838
Therefore, the GCF of 9289/262,1962/5098 is 1/667838.
To find the highest common factor of 9289,1962, we have to find the factors of both numbers and list the highest common factor.
The factors of 9289 are 1, 7, 1327, 9289
The factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962
The HCF of 9289,1962 is 1.
Lets's calculate GCF of 9289,1962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9289,1962 By Matching Biggest Common Factor Method
Now, list down the factors of 9289
:1,7,1327,9289
Now, list down the factors of 1962
:1,2,3,6,9,18,109,218,327,654,981,1962
Greatest Common Factor
We found the factors 9289,1962 . The biggest common factor number is the GCF number.
So the greatest common factor 9289,1962 is 1.
Lets's calculate LCM of 262,5098
| 2 | 262, 5098 |
| 131, 2549 |
∴ So the LCM of the given numbers is 2 x 131 x 2549 = 667838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667838
Therefore, the GCF of Fractions 9289/262,1962/5098 is 1/667838
Least Common Multiple of 262,5098 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 262,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,5098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,5098) x common factors =2 x 1 = 2
LCM(262,5098) = ( 262 × 5098 ) / 2
LCM(262,5098) = 1335676 / 2
LCM(262,5098) = 667838
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9289/262, 1962/5098
1. What is the HCF of 9289,1962?
The HCF of 9289,1962 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 9289/262, 1962/5098?
Answer: GCF of Numerators as per given numbers 9289/262, 1962/5098 is
GCF of Numerators i.e. for 9289,1962 is 1
LCM of denominators i.e. for 262,5098 is 667838.
Thus, GCF of Fractions is 1/667838.Finally, GCF of Fractions for 9289/262, 1962/5098 is 1/667838.