GCF of 9541/969, 3525/9679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9541/969, 3525/9679 i.e 47/9378951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9541/969, 3525/9679.
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 9541/969,3525/9679?
Given fractions are 9541/969,3525/9679
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 9541/969,3525/9679, numerators are 9541,3525
Denominators are 969,9679
The GCF of 9541,3525 is 47 .
LCM of 969,9679 is 9378951.
The greatest common factor of 9541/969,3525/9679 = [GCF of 9541,3525]/[LCM of 969,9679]= 47/9378951
Therefore, the GCF of 9541/969,3525/9679 is 47/9378951.
To find the highest common factor of 9541,3525, we have to find the factors of both numbers and list the highest common factor.
The factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541
The factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525
The HCF of 9541,3525 is 47.
Lets's calculate GCF of 9541,3525
| 47 | 9541, 3525 |
| 203, 75 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 9541,3525 By Matching Biggest Common Factor Method
Now, list down the factors of 9541
:1,7,29,47,203,329,1363,9541
Now, list down the factors of 3525
:1,3,5,15,25,47,75,141,235,705,1175,3525
Greatest Common Factor
We found the factors 9541,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 9541,3525 is 47.
Lets's calculate LCM of 969,9679
Given numbers has no common factors except 1. So, there LCM is their product i.e 9378951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/9378951
Therefore, the GCF of Fractions 9541/969,3525/9679 is 47/9378951
Least Common Multiple of 969,9679 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 969,9679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,9679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,9679) x common factors =1 x 1 = 1
LCM(969,9679) = ( 969 × 9679 ) / 1
LCM(969,9679) = 9378951 / 1
LCM(969,9679) = 9378951
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FAQs on GCF of Fractions of 9541/969, 3525/9679
1. What is the HCF of 9541,3525?
The HCF of 9541,3525 is 47
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 9541/969, 3525/9679?
Answer: GCF of Numerators as per given numbers 9541/969, 3525/9679 is
GCF of Numerators i.e. for 9541,3525 is 47
LCM of denominators i.e. for 969,9679 is 9378951.
Thus, GCF of Fractions is 47/9378951.Finally, GCF of Fractions for 9541/969, 3525/9679 is 47/9378951.