GCF of 9760/581, 7345/8243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9760/581, 7345/8243 i.e 5/4789183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9760/581, 7345/8243.
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 9760/581,7345/8243?
Given fractions are 9760/581,7345/8243
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 9760/581,7345/8243, numerators are 9760,7345
Denominators are 581,8243
The GCF of 9760,7345 is 5 .
LCM of 581,8243 is 4789183.
The greatest common factor of 9760/581,7345/8243 = [GCF of 9760,7345]/[LCM of 581,8243]= 5/4789183
Therefore, the GCF of 9760/581,7345/8243 is 5/4789183.
To find the highest common factor of 9760,7345, we have to find the factors of both numbers and list the highest common factor.
The factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The HCF of 9760,7345 is 5.
Lets's calculate GCF of 9760,7345
| 5 | 9760, 7345 |
| 1952, 1469 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9760,7345 By Matching Biggest Common Factor Method
Now, list down the factors of 9760
:1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Greatest Common Factor
We found the factors 9760,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 9760,7345 is 5.
Lets's calculate LCM of 581,8243
Given numbers has no common factors except 1. So, there LCM is their product i.e 4789183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4789183
Therefore, the GCF of Fractions 9760/581,7345/8243 is 5/4789183
Least Common Multiple of 581,8243 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 581,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,8243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,8243) x common factors =1 x 1 = 1
LCM(581,8243) = ( 581 × 8243 ) / 1
LCM(581,8243) = 4789183 / 1
LCM(581,8243) = 4789183
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FAQs on GCF of Fractions of 9760/581, 7345/8243
1. What is the HCF of 9760,7345?
The HCF of 9760,7345 is 5
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 9760/581, 7345/8243?
Answer: GCF of Numerators as per given numbers 9760/581, 7345/8243 is
GCF of Numerators i.e. for 9760,7345 is 5
LCM of denominators i.e. for 581,8243 is 4789183.
Thus, GCF of Fractions is 5/4789183.Finally, GCF of Fractions for 9760/581, 7345/8243 is 5/4789183.