GCF of 9517/984, 7521/4358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9517/984, 7521/4358 i.e 1/2144136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9517/984, 7521/4358.
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 9517/984,7521/4358?
Given fractions are 9517/984,7521/4358
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 9517/984,7521/4358, numerators are 9517,7521
Denominators are 984,4358
The GCF of 9517,7521 is 1 .
LCM of 984,4358 is 2144136.
The greatest common factor of 9517/984,7521/4358 = [GCF of 9517,7521]/[LCM of 984,4358]= 1/2144136
Therefore, the GCF of 9517/984,7521/4358 is 1/2144136.
To find the highest common factor of 9517,7521, we have to find the factors of both numbers and list the highest common factor.
The factors of 9517 are 1, 31, 307, 9517
The factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521
The HCF of 9517,7521 is 1.
Lets's calculate GCF of 9517,7521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9517,7521 By Matching Biggest Common Factor Method
Now, list down the factors of 9517
:1,31,307,9517
Now, list down the factors of 7521
:1,3,23,69,109,327,2507,7521
Greatest Common Factor
We found the factors 9517,7521 . The biggest common factor number is the GCF number.
So the greatest common factor 9517,7521 is 1.
Lets's calculate LCM of 984,4358
| 2 | 984, 4358 |
| 492, 2179 |
∴ So the LCM of the given numbers is 2 x 492 x 2179 = 2144136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2144136
Therefore, the GCF of Fractions 9517/984,7521/4358 is 1/2144136
Least Common Multiple of 984,4358 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 984,4358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,4358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(984,4358) x common factors =2 x 1 = 2
LCM(984,4358) = ( 984 × 4358 ) / 2
LCM(984,4358) = 4288272 / 2
LCM(984,4358) = 2144136
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FAQs on GCF of Fractions of 9517/984, 7521/4358
1. What is the HCF of 9517,7521?
The HCF of 9517,7521 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 9517/984, 7521/4358?
Answer: GCF of Numerators as per given numbers 9517/984, 7521/4358 is
GCF of Numerators i.e. for 9517,7521 is 1
LCM of denominators i.e. for 984,4358 is 2144136.
Thus, GCF of Fractions is 1/2144136.Finally, GCF of Fractions for 9517/984, 7521/4358 is 1/2144136.