GCF of 7481/722, 9886/9722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7481/722, 9886/9722 i.e 1/3509642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7481/722, 9886/9722.
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 7481/722,9886/9722?
Given fractions are 7481/722,9886/9722
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 7481/722,9886/9722, numerators are 7481,9886
Denominators are 722,9722
The GCF of 7481,9886 is 1 .
LCM of 722,9722 is 3509642.
The greatest common factor of 7481/722,9886/9722 = [GCF of 7481,9886]/[LCM of 722,9722]= 1/3509642
Therefore, the GCF of 7481/722,9886/9722 is 1/3509642.
To find the highest common factor of 7481,9886, we have to find the factors of both numbers and list the highest common factor.
The factors of 7481 are 1, 7481
The factors of 9886 are 1, 2, 4943, 9886
The HCF of 7481,9886 is 1.
Lets's calculate GCF of 7481,9886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7481,9886 By Matching Biggest Common Factor Method
Now, list down the factors of 7481
:1,7481
Now, list down the factors of 9886
:1,2,4943,9886
Greatest Common Factor
We found the factors 7481,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 7481,9886 is 1.
Lets's calculate LCM of 722,9722
| 2 | 722, 9722 |
| 361, 4861 |
∴ So the LCM of the given numbers is 2 x 361 x 4861 = 3509642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3509642
Therefore, the GCF of Fractions 7481/722,9886/9722 is 1/3509642
Least Common Multiple of 722,9722 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 722,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,9722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,9722) x common factors =2 x 1 = 2
LCM(722,9722) = ( 722 × 9722 ) / 2
LCM(722,9722) = 7019284 / 2
LCM(722,9722) = 3509642
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FAQs on GCF of Fractions of 7481/722, 9886/9722
1. What is the HCF of 7481,9886?
The HCF of 7481,9886 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 7481/722, 9886/9722?
Answer: GCF of Numerators as per given numbers 7481/722, 9886/9722 is
GCF of Numerators i.e. for 7481,9886 is 1
LCM of denominators i.e. for 722,9722 is 3509642.
Thus, GCF of Fractions is 1/3509642.Finally, GCF of Fractions for 7481/722, 9886/9722 is 1/3509642.