GCF of 9281/970, 4115/5214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9281/970, 4115/5214 i.e 1/2528790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9281/970, 4115/5214.
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 9281/970,4115/5214?
Given fractions are 9281/970,4115/5214
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 9281/970,4115/5214, numerators are 9281,4115
Denominators are 970,5214
The GCF of 9281,4115 is 1 .
LCM of 970,5214 is 2528790.
The greatest common factor of 9281/970,4115/5214 = [GCF of 9281,4115]/[LCM of 970,5214]= 1/2528790
Therefore, the GCF of 9281/970,4115/5214 is 1/2528790.
To find the highest common factor of 9281,4115, we have to find the factors of both numbers and list the highest common factor.
The factors of 9281 are 1, 9281
The factors of 4115 are 1, 5, 823, 4115
The HCF of 9281,4115 is 1.
Lets's calculate GCF of 9281,4115
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9281,4115 By Matching Biggest Common Factor Method
Now, list down the factors of 9281
:1,9281
Now, list down the factors of 4115
:1,5,823,4115
Greatest Common Factor
We found the factors 9281,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 9281,4115 is 1.
Lets's calculate LCM of 970,5214
| 2 | 970, 5214 |
| 485, 2607 |
∴ So the LCM of the given numbers is 2 x 485 x 2607 = 2528790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2528790
Therefore, the GCF of Fractions 9281/970,4115/5214 is 1/2528790
Least Common Multiple of 970,5214 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 970,5214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,5214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,5214) x common factors =2 x 1 = 2
LCM(970,5214) = ( 970 × 5214 ) / 2
LCM(970,5214) = 5057580 / 2
LCM(970,5214) = 2528790
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FAQs on GCF of Fractions of 9281/970, 4115/5214
1. What is the HCF of 9281,4115?
The HCF of 9281,4115 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 9281/970, 4115/5214?
Answer: GCF of Numerators as per given numbers 9281/970, 4115/5214 is
GCF of Numerators i.e. for 9281,4115 is 1
LCM of denominators i.e. for 970,5214 is 2528790.
Thus, GCF of Fractions is 1/2528790.Finally, GCF of Fractions for 9281/970, 4115/5214 is 1/2528790.