GCF of 9121/751, 1225/2017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9121/751, 1225/2017 i.e 7/1514767 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9121/751, 1225/2017.
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 9121/751,1225/2017?
Given fractions are 9121/751,1225/2017
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 9121/751,1225/2017, numerators are 9121,1225
Denominators are 751,2017
The GCF of 9121,1225 is 7 .
LCM of 751,2017 is 1514767.
The greatest common factor of 9121/751,1225/2017 = [GCF of 9121,1225]/[LCM of 751,2017]= 7/1514767
Therefore, the GCF of 9121/751,1225/2017 is 7/1514767.
To find the highest common factor of 9121,1225, we have to find the factors of both numbers and list the highest common factor.
The factors of 9121 are 1, 7, 1303, 9121
The factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225
The HCF of 9121,1225 is 7.
Lets's calculate GCF of 9121,1225
| 7 | 9121, 1225 |
| 1303, 175 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9121,1225 By Matching Biggest Common Factor Method
Now, list down the factors of 9121
:1,7,1303,9121
Now, list down the factors of 1225
:1,5,7,25,35,49,175,245,1225
Greatest Common Factor
We found the factors 9121,1225 . The biggest common factor number is the GCF number.
So the greatest common factor 9121,1225 is 7.
Lets's calculate LCM of 751,2017
Given numbers has no common factors except 1. So, there LCM is their product i.e 1514767
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1514767
Therefore, the GCF of Fractions 9121/751,1225/2017 is 7/1514767
Least Common Multiple of 751,2017 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 751,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,2017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,2017) x common factors =1 x 1 = 1
LCM(751,2017) = ( 751 × 2017 ) / 1
LCM(751,2017) = 1514767 / 1
LCM(751,2017) = 1514767
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FAQs on GCF of Fractions of 9121/751, 1225/2017
1. What is the HCF of 9121,1225?
The HCF of 9121,1225 is 7
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 9121/751, 1225/2017?
Answer: GCF of Numerators as per given numbers 9121/751, 1225/2017 is
GCF of Numerators i.e. for 9121,1225 is 7
LCM of denominators i.e. for 751,2017 is 1514767.
Thus, GCF of Fractions is 7/1514767.Finally, GCF of Fractions for 9121/751, 1225/2017 is 7/1514767.