GCF of 8481/690, 7524/8158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8481/690, 7524/8158 i.e 33/2814510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8481/690, 7524/8158.
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 8481/690,7524/8158?
Given fractions are 8481/690,7524/8158
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 8481/690,7524/8158, numerators are 8481,7524
Denominators are 690,8158
The GCF of 8481,7524 is 33 .
LCM of 690,8158 is 2814510.
The greatest common factor of 8481/690,7524/8158 = [GCF of 8481,7524]/[LCM of 690,8158]= 33/2814510
Therefore, the GCF of 8481/690,7524/8158 is 33/2814510.
To find the highest common factor of 8481,7524, we have to find the factors of both numbers and list the highest common factor.
The factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The HCF of 8481,7524 is 33.
Lets's calculate GCF of 8481,7524
| 3 | 8481, 7524 |
| 11 | 2827, 2508 |
| 257, 228 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8481,7524 By Matching Biggest Common Factor Method
Now, list down the factors of 8481
:1,3,11,33,257,771,2827,8481
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Greatest Common Factor
We found the factors 8481,7524 . The biggest common factor number is the GCF number.
So the greatest common factor 8481,7524 is 33.
Lets's calculate LCM of 690,8158
| 2 | 690, 8158 |
| 345, 4079 |
∴ So the LCM of the given numbers is 2 x 345 x 4079 = 2814510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2814510
Therefore, the GCF of Fractions 8481/690,7524/8158 is 33/2814510
Least Common Multiple of 690,8158 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 690,8158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,8158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,8158) x common factors =2 x 1 = 2
LCM(690,8158) = ( 690 × 8158 ) / 2
LCM(690,8158) = 5629020 / 2
LCM(690,8158) = 2814510
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FAQs on GCF of Fractions of 8481/690, 7524/8158
1. What is the HCF of 8481,7524?
The HCF of 8481,7524 is 33
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 8481/690, 7524/8158?
Answer: GCF of Numerators as per given numbers 8481/690, 7524/8158 is
GCF of Numerators i.e. for 8481,7524 is 33
LCM of denominators i.e. for 690,8158 is 2814510.
Thus, GCF of Fractions is 33/2814510.Finally, GCF of Fractions for 8481/690, 7524/8158 is 33/2814510.