GCF of 7446/451, 8760/539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7446/451, 8760/539 i.e 438/22099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7446/451, 8760/539.
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 7446/451,8760/539?
Given fractions are 7446/451,8760/539
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 7446/451,8760/539, numerators are 7446,8760
Denominators are 451,539
The GCF of 7446,8760 is 438 .
LCM of 451,539 is 22099.
The greatest common factor of 7446/451,8760/539 = [GCF of 7446,8760]/[LCM of 451,539]= 438/22099
Therefore, the GCF of 7446/451,8760/539 is 438/22099.
To find the highest common factor of 7446,8760, we have to find the factors of both numbers and list the highest common factor.
The factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The HCF of 7446,8760 is 438.
Lets's calculate GCF of 7446,8760
| 2 | 7446, 8760 |
| 3 | 3723, 4380 |
| 73 | 1241, 1460 |
| 17, 20 |
∴ So the GCF of the given numbers is 2 x 3 x 73 = 438
Greatest Common Factor of 7446,8760 By Matching Biggest Common Factor Method
Now, list down the factors of 7446
:1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 7446,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 7446,8760 is 438.
Lets's calculate LCM of 451,539
| 11 | 451, 539 |
| 41, 49 |
∴ So the LCM of the given numbers is 11 x 41 x 49 = 22099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 438/22099
Therefore, the GCF of Fractions 7446/451,8760/539 is 438/22099
Least Common Multiple of 451,539 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 451,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,539) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(451,539) x common factors =11 x 1 = 11
LCM(451,539) = ( 451 × 539 ) / 11
LCM(451,539) = 243089 / 11
LCM(451,539) = 22099
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FAQs on GCF of Fractions of 7446/451, 8760/539
1. What is the HCF of 7446,8760?
The HCF of 7446,8760 is 438
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 7446/451, 8760/539?
Answer: GCF of Numerators as per given numbers 7446/451, 8760/539 is
GCF of Numerators i.e. for 7446,8760 is 438
LCM of denominators i.e. for 451,539 is 22099.
Thus, GCF of Fractions is 438/22099.Finally, GCF of Fractions for 7446/451, 8760/539 is 438/22099.