GCF of 5307/394, 6150/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5307/394, 6150/662 i.e 3/130414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5307/394, 6150/662.
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 5307/394,6150/662?
Given fractions are 5307/394,6150/662
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 5307/394,6150/662, numerators are 5307,6150
Denominators are 394,662
The GCF of 5307,6150 is 3 .
LCM of 394,662 is 130414.
The greatest common factor of 5307/394,6150/662 = [GCF of 5307,6150]/[LCM of 394,662]= 3/130414
Therefore, the GCF of 5307/394,6150/662 is 3/130414.
To find the highest common factor of 5307,6150, we have to find the factors of both numbers and list the highest common factor.
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
The HCF of 5307,6150 is 3.
Lets's calculate GCF of 5307,6150
| 3 | 5307, 6150 |
| 1769, 2050 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5307,6150 By Matching Biggest Common Factor Method
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Now, list down the factors of 6150
:1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150
Greatest Common Factor
We found the factors 5307,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,6150 is 3.
Lets's calculate LCM of 394,662
| 2 | 394, 662 |
| 197, 331 |
∴ So the LCM of the given numbers is 2 x 197 x 331 = 130414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/130414
Therefore, the GCF of Fractions 5307/394,6150/662 is 3/130414
Least Common Multiple of 394,662 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 394,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,662) x common factors =2 x 1 = 2
LCM(394,662) = ( 394 × 662 ) / 2
LCM(394,662) = 260828 / 2
LCM(394,662) = 130414
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FAQs on GCF of Fractions of 5307/394, 6150/662
1. What is the HCF of 5307,6150?
The HCF of 5307,6150 is 3
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 5307/394, 6150/662?
Answer: GCF of Numerators as per given numbers 5307/394, 6150/662 is
GCF of Numerators i.e. for 5307,6150 is 3
LCM of denominators i.e. for 394,662 is 130414.
Thus, GCF of Fractions is 3/130414.Finally, GCF of Fractions for 5307/394, 6150/662 is 3/130414.