GCF of 9654/975, 3998/8769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9654/975, 3998/8769 i.e 2/2849925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9654/975, 3998/8769.
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 9654/975,3998/8769?
Given fractions are 9654/975,3998/8769
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 9654/975,3998/8769, numerators are 9654,3998
Denominators are 975,8769
The GCF of 9654,3998 is 2 .
LCM of 975,8769 is 2849925.
The greatest common factor of 9654/975,3998/8769 = [GCF of 9654,3998]/[LCM of 975,8769]= 2/2849925
Therefore, the GCF of 9654/975,3998/8769 is 2/2849925.
To find the highest common factor of 9654,3998, we have to find the factors of both numbers and list the highest common factor.
The factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654
The factors of 3998 are 1, 2, 1999, 3998
The HCF of 9654,3998 is 2.
Lets's calculate GCF of 9654,3998
| 2 | 9654, 3998 |
| 4827, 1999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9654,3998 By Matching Biggest Common Factor Method
Now, list down the factors of 9654
:1,2,3,6,1609,3218,4827,9654
Now, list down the factors of 3998
:1,2,1999,3998
Greatest Common Factor
We found the factors 9654,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 9654,3998 is 2.
Lets's calculate LCM of 975,8769
| 3 | 975, 8769 |
| 325, 2923 |
∴ So the LCM of the given numbers is 3 x 325 x 2923 = 2849925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2849925
Therefore, the GCF of Fractions 9654/975,3998/8769 is 2/2849925
Least Common Multiple of 975,8769 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 975,8769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,8769) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,8769) x common factors =3 x 1 = 3
LCM(975,8769) = ( 975 × 8769 ) / 3
LCM(975,8769) = 8549775 / 3
LCM(975,8769) = 2849925
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FAQs on GCF of Fractions of 9654/975, 3998/8769
1. What is the HCF of 9654,3998?
The HCF of 9654,3998 is 2
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 9654/975, 3998/8769?
Answer: GCF of Numerators as per given numbers 9654/975, 3998/8769 is
GCF of Numerators i.e. for 9654,3998 is 2
LCM of denominators i.e. for 975,8769 is 2849925.
Thus, GCF of Fractions is 2/2849925.Finally, GCF of Fractions for 9654/975, 3998/8769 is 2/2849925.