GCF of 7459/987, 8009/4197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7459/987, 8009/4197 i.e 1/1380813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7459/987, 8009/4197.
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 7459/987,8009/4197?
Given fractions are 7459/987,8009/4197
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 7459/987,8009/4197, numerators are 7459,8009
Denominators are 987,4197
The GCF of 7459,8009 is 1 .
LCM of 987,4197 is 1380813.
The greatest common factor of 7459/987,8009/4197 = [GCF of 7459,8009]/[LCM of 987,4197]= 1/1380813
Therefore, the GCF of 7459/987,8009/4197 is 1/1380813.
To find the highest common factor of 7459,8009, we have to find the factors of both numbers and list the highest common factor.
The factors of 7459 are 1, 7459
The factors of 8009 are 1, 8009
The HCF of 7459,8009 is 1.
Lets's calculate GCF of 7459,8009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7459,8009 By Matching Biggest Common Factor Method
Now, list down the factors of 7459
:1,7459
Now, list down the factors of 8009
:1,8009
Greatest Common Factor
We found the factors 7459,8009 . The biggest common factor number is the GCF number.
So the greatest common factor 7459,8009 is 1.
Lets's calculate LCM of 987,4197
| 3 | 987, 4197 |
| 329, 1399 |
∴ So the LCM of the given numbers is 3 x 329 x 1399 = 1380813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1380813
Therefore, the GCF of Fractions 7459/987,8009/4197 is 1/1380813
Least Common Multiple of 987,4197 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 987,4197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,4197) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,4197) x common factors =3 x 1 = 3
LCM(987,4197) = ( 987 × 4197 ) / 3
LCM(987,4197) = 4142439 / 3
LCM(987,4197) = 1380813
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FAQs on GCF of Fractions of 7459/987, 8009/4197
1. What is the HCF of 7459,8009?
The HCF of 7459,8009 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 7459/987, 8009/4197?
Answer: GCF of Numerators as per given numbers 7459/987, 8009/4197 is
GCF of Numerators i.e. for 7459,8009 is 1
LCM of denominators i.e. for 987,4197 is 1380813.
Thus, GCF of Fractions is 1/1380813.Finally, GCF of Fractions for 7459/987, 8009/4197 is 1/1380813.