GCF of 8490/394, 9750/6055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8490/394, 9750/6055 i.e 30/2385670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8490/394, 9750/6055.
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 8490/394,9750/6055?
Given fractions are 8490/394,9750/6055
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 8490/394,9750/6055, numerators are 8490,9750
Denominators are 394,6055
The GCF of 8490,9750 is 30 .
LCM of 394,6055 is 2385670.
The greatest common factor of 8490/394,9750/6055 = [GCF of 8490,9750]/[LCM of 394,6055]= 30/2385670
Therefore, the GCF of 8490/394,9750/6055 is 30/2385670.
To find the highest common factor of 8490,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 8490,9750 is 30.
Lets's calculate GCF of 8490,9750
| 2 | 8490, 9750 |
| 3 | 4245, 4875 |
| 5 | 1415, 1625 |
| 283, 325 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 8490,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 8490
:1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 8490,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 8490,9750 is 30.
Lets's calculate LCM of 394,6055
Given numbers has no common factors except 1. So, there LCM is their product i.e 2385670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2385670
Therefore, the GCF of Fractions 8490/394,9750/6055 is 30/2385670
Least Common Multiple of 394,6055 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 394,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,6055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,6055) x common factors =1 x 1 = 1
LCM(394,6055) = ( 394 × 6055 ) / 1
LCM(394,6055) = 2385670 / 1
LCM(394,6055) = 2385670
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FAQs on GCF of Fractions of 8490/394, 9750/6055
1. What is the HCF of 8490,9750?
The HCF of 8490,9750 is 30
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 8490/394, 9750/6055?
Answer: GCF of Numerators as per given numbers 8490/394, 9750/6055 is
GCF of Numerators i.e. for 8490,9750 is 30
LCM of denominators i.e. for 394,6055 is 2385670.
Thus, GCF of Fractions is 30/2385670.Finally, GCF of Fractions for 8490/394, 9750/6055 is 30/2385670.