GCF of 5802/748, 8550/9585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5802/748, 8550/9585 i.e 6/7169580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5802/748, 8550/9585.
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 5802/748,8550/9585?
Given fractions are 5802/748,8550/9585
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 5802/748,8550/9585, numerators are 5802,8550
Denominators are 748,9585
The GCF of 5802,8550 is 6 .
LCM of 748,9585 is 7169580.
The greatest common factor of 5802/748,8550/9585 = [GCF of 5802,8550]/[LCM of 748,9585]= 6/7169580
Therefore, the GCF of 5802/748,8550/9585 is 6/7169580.
To find the highest common factor of 5802,8550, we have to find the factors of both numbers and list the highest common factor.
The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550
The HCF of 5802,8550 is 6.
Lets's calculate GCF of 5802,8550
| 2 | 5802, 8550 |
| 3 | 2901, 4275 |
| 967, 1425 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5802,8550 By Matching Biggest Common Factor Method
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Now, list down the factors of 8550
:1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550
Greatest Common Factor
We found the factors 5802,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 5802,8550 is 6.
Lets's calculate LCM of 748,9585
Given numbers has no common factors except 1. So, there LCM is their product i.e 7169580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/7169580
Therefore, the GCF of Fractions 5802/748,8550/9585 is 6/7169580
Least Common Multiple of 748,9585 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 748,9585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,9585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,9585) x common factors =1 x 1 = 1
LCM(748,9585) = ( 748 × 9585 ) / 1
LCM(748,9585) = 7169580 / 1
LCM(748,9585) = 7169580
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FAQs on GCF of Fractions of 5802/748, 8550/9585
1. What is the HCF of 5802,8550?
The HCF of 5802,8550 is 6
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 5802/748, 8550/9585?
Answer: GCF of Numerators as per given numbers 5802/748, 8550/9585 is
GCF of Numerators i.e. for 5802,8550 is 6
LCM of denominators i.e. for 748,9585 is 7169580.
Thus, GCF of Fractions is 6/7169580.Finally, GCF of Fractions for 5802/748, 8550/9585 is 6/7169580.