GCF of 9379/420, 3513/9550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9379/420, 3513/9550 i.e 1/401100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9379/420, 3513/9550.
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 9379/420,3513/9550?
Given fractions are 9379/420,3513/9550
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 9379/420,3513/9550, numerators are 9379,3513
Denominators are 420,9550
The GCF of 9379,3513 is 1 .
LCM of 420,9550 is 401100.
The greatest common factor of 9379/420,3513/9550 = [GCF of 9379,3513]/[LCM of 420,9550]= 1/401100
Therefore, the GCF of 9379/420,3513/9550 is 1/401100.
To find the highest common factor of 9379,3513, we have to find the factors of both numbers and list the highest common factor.
The factors of 9379 are 1, 83, 113, 9379
The factors of 3513 are 1, 3, 1171, 3513
The HCF of 9379,3513 is 1.
Lets's calculate GCF of 9379,3513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9379,3513 By Matching Biggest Common Factor Method
Now, list down the factors of 9379
:1,83,113,9379
Now, list down the factors of 3513
:1,3,1171,3513
Greatest Common Factor
We found the factors 9379,3513 . The biggest common factor number is the GCF number.
So the greatest common factor 9379,3513 is 1.
Lets's calculate LCM of 420,9550
| 2 | 420, 9550 |
| 5 | 210, 4775 |
| 42, 955 |
∴ So the LCM of the given numbers is 2 x 5 x 42 x 955 = 401100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401100
Therefore, the GCF of Fractions 9379/420,3513/9550 is 1/401100
Least Common Multiple of 420,9550 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 420,9550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,9550) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(420,9550) x common factors =10 x 1 = 10
LCM(420,9550) = ( 420 × 9550 ) / 10
LCM(420,9550) = 4011000 / 10
LCM(420,9550) = 401100
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FAQs on GCF of Fractions of 9379/420, 3513/9550
1. What is the HCF of 9379,3513?
The HCF of 9379,3513 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 9379/420, 3513/9550?
Answer: GCF of Numerators as per given numbers 9379/420, 3513/9550 is
GCF of Numerators i.e. for 9379,3513 is 1
LCM of denominators i.e. for 420,9550 is 401100.
Thus, GCF of Fractions is 1/401100.Finally, GCF of Fractions for 9379/420, 3513/9550 is 1/401100.