GCF of 9259/290, 7889/4894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9259/290, 7889/4894 i.e 1/709630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9259/290, 7889/4894.
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 9259/290,7889/4894?
Given fractions are 9259/290,7889/4894
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 9259/290,7889/4894, numerators are 9259,7889
Denominators are 290,4894
The GCF of 9259,7889 is 1 .
LCM of 290,4894 is 709630.
The greatest common factor of 9259/290,7889/4894 = [GCF of 9259,7889]/[LCM of 290,4894]= 1/709630
Therefore, the GCF of 9259/290,7889/4894 is 1/709630.
To find the highest common factor of 9259,7889, we have to find the factors of both numbers and list the highest common factor.
The factors of 9259 are 1, 47, 197, 9259
The factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889
The HCF of 9259,7889 is 1.
Lets's calculate GCF of 9259,7889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9259,7889 By Matching Biggest Common Factor Method
Now, list down the factors of 9259
:1,47,197,9259
Now, list down the factors of 7889
:1,7,23,49,161,343,1127,7889
Greatest Common Factor
We found the factors 9259,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 9259,7889 is 1.
Lets's calculate LCM of 290,4894
| 2 | 290, 4894 |
| 145, 2447 |
∴ So the LCM of the given numbers is 2 x 145 x 2447 = 709630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709630
Therefore, the GCF of Fractions 9259/290,7889/4894 is 1/709630
Least Common Multiple of 290,4894 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 290,4894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,4894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,4894) x common factors =2 x 1 = 2
LCM(290,4894) = ( 290 × 4894 ) / 2
LCM(290,4894) = 1419260 / 2
LCM(290,4894) = 709630
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FAQs on GCF of Fractions of 9259/290, 7889/4894
1. What is the HCF of 9259,7889?
The HCF of 9259,7889 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 9259/290, 7889/4894?
Answer: GCF of Numerators as per given numbers 9259/290, 7889/4894 is
GCF of Numerators i.e. for 9259,7889 is 1
LCM of denominators i.e. for 290,4894 is 709630.
Thus, GCF of Fractions is 1/709630.Finally, GCF of Fractions for 9259/290, 7889/4894 is 1/709630.