GCF of 851/864, 8510/594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/864, 8510/594 i.e 851/9504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/864, 8510/594.
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 851/864,8510/594?
Given fractions are 851/864,8510/594
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 851/864,8510/594, numerators are 851,8510
Denominators are 864,594
The GCF of 851,8510 is 851 .
LCM of 864,594 is 9504.
The greatest common factor of 851/864,8510/594 = [GCF of 851,8510]/[LCM of 864,594]= 851/9504
Therefore, the GCF of 851/864,8510/594 is 851/9504.
To find the highest common factor of 851,8510, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510
The HCF of 851,8510 is 851.
Lets's calculate GCF of 851,8510
| 23 | 851, 8510 |
| 37 | 37, 370 |
| 1, 10 |
∴ So the GCF of the given numbers is 23 x 37 = 851
Greatest Common Factor of 851,8510 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 8510
:1,2,5,10,23,37,46,74,115,185,230,370,851,1702,4255,8510
Greatest Common Factor
We found the factors 851,8510 . The biggest common factor number is the GCF number.
So the greatest common factor 851,8510 is 851.
Lets's calculate LCM of 864,594
| 2 | 864, 594 |
| 3 | 432, 297 |
| 3 | 144, 99 |
| 3 | 48, 33 |
| 16, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 16 x 11 = 9504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 851/9504
Therefore, the GCF of Fractions 851/864,8510/594 is 851/9504
Least Common Multiple of 864,594 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 864,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,594) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(864,594) x common factors =54 x 1 = 54
LCM(864,594) = ( 864 × 594 ) / 54
LCM(864,594) = 513216 / 54
LCM(864,594) = 9504
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FAQs on GCF of Fractions of 851/864, 8510/594
1. What is the HCF of 851,8510?
The HCF of 851,8510 is 851
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 851/864, 8510/594?
Answer: GCF of Numerators as per given numbers 851/864, 8510/594 is
GCF of Numerators i.e. for 851,8510 is 851
LCM of denominators i.e. for 864,594 is 9504.
Thus, GCF of Fractions is 851/9504.Finally, GCF of Fractions for 851/864, 8510/594 is 851/9504.