GCF of 7370/20, 8921/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7370/20, 8921/413 i.e 11/8260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7370/20, 8921/413.
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 7370/20,8921/413?
Given fractions are 7370/20,8921/413
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 7370/20,8921/413, numerators are 7370,8921
Denominators are 20,413
The GCF of 7370,8921 is 11 .
LCM of 20,413 is 8260.
The greatest common factor of 7370/20,8921/413 = [GCF of 7370,8921]/[LCM of 20,413]= 11/8260
Therefore, the GCF of 7370/20,8921/413 is 11/8260.
To find the highest common factor of 7370,8921, we have to find the factors of both numbers and list the highest common factor.
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The factors of 8921 are 1, 11, 811, 8921
The HCF of 7370,8921 is 11.
Lets's calculate GCF of 7370,8921
| 11 | 7370, 8921 |
| 670, 811 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7370,8921 By Matching Biggest Common Factor Method
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Now, list down the factors of 8921
:1,11,811,8921
Greatest Common Factor
We found the factors 7370,8921 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,8921 is 11.
Lets's calculate LCM of 20,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 8260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8260
Therefore, the GCF of Fractions 7370/20,8921/413 is 11/8260
Least Common Multiple of 20,413 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 20,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,413) x common factors =1 x 1 = 1
LCM(20,413) = ( 20 × 413 ) / 1
LCM(20,413) = 8260 / 1
LCM(20,413) = 8260
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FAQs on GCF of Fractions of 7370/20, 8921/413
1. What is the HCF of 7370,8921?
The HCF of 7370,8921 is 11
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 7370/20, 8921/413?
Answer: GCF of Numerators as per given numbers 7370/20, 8921/413 is
GCF of Numerators i.e. for 7370,8921 is 11
LCM of denominators i.e. for 20,413 is 8260.
Thus, GCF of Fractions is 11/8260.Finally, GCF of Fractions for 7370/20, 8921/413 is 11/8260.