GCF of 9789/982, 3445/9548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9789/982, 3445/9548 i.e 13/4688068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9789/982, 3445/9548.
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 9789/982,3445/9548?
Given fractions are 9789/982,3445/9548
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 9789/982,3445/9548, numerators are 9789,3445
Denominators are 982,9548
The GCF of 9789,3445 is 13 .
LCM of 982,9548 is 4688068.
The greatest common factor of 9789/982,3445/9548 = [GCF of 9789,3445]/[LCM of 982,9548]= 13/4688068
Therefore, the GCF of 9789/982,3445/9548 is 13/4688068.
To find the highest common factor of 9789,3445, we have to find the factors of both numbers and list the highest common factor.
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445
The HCF of 9789,3445 is 13.
Lets's calculate GCF of 9789,3445
| 13 | 9789, 3445 |
| 753, 265 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9789,3445 By Matching Biggest Common Factor Method
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Now, list down the factors of 3445
:1,5,13,53,65,265,689,3445
Greatest Common Factor
We found the factors 9789,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,3445 is 13.
Lets's calculate LCM of 982,9548
| 2 | 982, 9548 |
| 491, 4774 |
∴ So the LCM of the given numbers is 2 x 491 x 4774 = 4688068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4688068
Therefore, the GCF of Fractions 9789/982,3445/9548 is 13/4688068
Least Common Multiple of 982,9548 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 982,9548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,9548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,9548) x common factors =2 x 1 = 2
LCM(982,9548) = ( 982 × 9548 ) / 2
LCM(982,9548) = 9376136 / 2
LCM(982,9548) = 4688068
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FAQs on GCF of Fractions of 9789/982, 3445/9548
1. What is the HCF of 9789,3445?
The HCF of 9789,3445 is 13
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 9789/982, 3445/9548?
Answer: GCF of Numerators as per given numbers 9789/982, 3445/9548 is
GCF of Numerators i.e. for 9789,3445 is 13
LCM of denominators i.e. for 982,9548 is 4688068.
Thus, GCF of Fractions is 13/4688068.Finally, GCF of Fractions for 9789/982, 3445/9548 is 13/4688068.