GCF of 9897/975, 7879/5391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9897/975, 7879/5391 i.e 1/1752075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9897/975, 7879/5391.
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 9897/975,7879/5391?
Given fractions are 9897/975,7879/5391
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 9897/975,7879/5391, numerators are 9897,7879
Denominators are 975,5391
The GCF of 9897,7879 is 1 .
LCM of 975,5391 is 1752075.
The greatest common factor of 9897/975,7879/5391 = [GCF of 9897,7879]/[LCM of 975,5391]= 1/1752075
Therefore, the GCF of 9897/975,7879/5391 is 1/1752075.
To find the highest common factor of 9897,7879, we have to find the factors of both numbers and list the highest common factor.
The factors of 9897 are 1, 3, 3299, 9897
The factors of 7879 are 1, 7879
The HCF of 9897,7879 is 1.
Lets's calculate GCF of 9897,7879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9897,7879 By Matching Biggest Common Factor Method
Now, list down the factors of 9897
:1,3,3299,9897
Now, list down the factors of 7879
:1,7879
Greatest Common Factor
We found the factors 9897,7879 . The biggest common factor number is the GCF number.
So the greatest common factor 9897,7879 is 1.
Lets's calculate LCM of 975,5391
| 3 | 975, 5391 |
| 325, 1797 |
∴ So the LCM of the given numbers is 3 x 325 x 1797 = 1752075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1752075
Therefore, the GCF of Fractions 9897/975,7879/5391 is 1/1752075
Least Common Multiple of 975,5391 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 975,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,5391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,5391) x common factors =3 x 1 = 3
LCM(975,5391) = ( 975 × 5391 ) / 3
LCM(975,5391) = 5256225 / 3
LCM(975,5391) = 1752075
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FAQs on GCF of Fractions of 9897/975, 7879/5391
1. What is the HCF of 9897,7879?
The HCF of 9897,7879 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 9897/975, 7879/5391?
Answer: GCF of Numerators as per given numbers 9897/975, 7879/5391 is
GCF of Numerators i.e. for 9897,7879 is 1
LCM of denominators i.e. for 975,5391 is 1752075.
Thus, GCF of Fractions is 1/1752075.Finally, GCF of Fractions for 9897/975, 7879/5391 is 1/1752075.