GCF of 8545/140, 5065/7833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8545/140, 5065/7833 i.e 5/156660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8545/140, 5065/7833.
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 8545/140,5065/7833?
Given fractions are 8545/140,5065/7833
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 8545/140,5065/7833, numerators are 8545,5065
Denominators are 140,7833
The GCF of 8545,5065 is 5 .
LCM of 140,7833 is 156660.
The greatest common factor of 8545/140,5065/7833 = [GCF of 8545,5065]/[LCM of 140,7833]= 5/156660
Therefore, the GCF of 8545/140,5065/7833 is 5/156660.
To find the highest common factor of 8545,5065, we have to find the factors of both numbers and list the highest common factor.
The factors of 8545 are 1, 5, 1709, 8545
The factors of 5065 are 1, 5, 1013, 5065
The HCF of 8545,5065 is 5.
Lets's calculate GCF of 8545,5065
| 5 | 8545, 5065 |
| 1709, 1013 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8545,5065 By Matching Biggest Common Factor Method
Now, list down the factors of 8545
:1,5,1709,8545
Now, list down the factors of 5065
:1,5,1013,5065
Greatest Common Factor
We found the factors 8545,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 8545,5065 is 5.
Lets's calculate LCM of 140,7833
| 7 | 140, 7833 |
| 20, 1119 |
∴ So the LCM of the given numbers is 7 x 20 x 1119 = 156660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/156660
Therefore, the GCF of Fractions 8545/140,5065/7833 is 5/156660
Least Common Multiple of 140,7833 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 140,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,7833) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(140,7833) x common factors =7 x 1 = 7
LCM(140,7833) = ( 140 × 7833 ) / 7
LCM(140,7833) = 1096620 / 7
LCM(140,7833) = 156660
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FAQs on GCF of Fractions of 8545/140, 5065/7833
1. What is the HCF of 8545,5065?
The HCF of 8545,5065 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 8545/140, 5065/7833?
Answer: GCF of Numerators as per given numbers 8545/140, 5065/7833 is
GCF of Numerators i.e. for 8545,5065 is 5
LCM of denominators i.e. for 140,7833 is 156660.
Thus, GCF of Fractions is 5/156660.Finally, GCF of Fractions for 8545/140, 5065/7833 is 5/156660.