GCF of 1335/111, 6375/8214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1335/111, 6375/8214 i.e 15/8214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1335/111, 6375/8214.
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 1335/111,6375/8214?
Given fractions are 1335/111,6375/8214
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 1335/111,6375/8214, numerators are 1335,6375
Denominators are 111,8214
The GCF of 1335,6375 is 15 .
LCM of 111,8214 is 8214.
The greatest common factor of 1335/111,6375/8214 = [GCF of 1335,6375]/[LCM of 111,8214]= 15/8214
Therefore, the GCF of 1335/111,6375/8214 is 15/8214.
To find the highest common factor of 1335,6375, we have to find the factors of both numbers and list the highest common factor.
The factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335
The factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375
The HCF of 1335,6375 is 15.
Lets's calculate GCF of 1335,6375
| 3 | 1335, 6375 |
| 5 | 445, 2125 |
| 89, 425 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1335,6375 By Matching Biggest Common Factor Method
Now, list down the factors of 1335
:1,3,5,15,89,267,445,1335
Now, list down the factors of 6375
:1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Greatest Common Factor
We found the factors 1335,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 1335,6375 is 15.
Lets's calculate LCM of 111,8214
| 3 | 111, 8214 |
| 37 | 37, 2738 |
| 1, 74 |
∴ So the LCM of the given numbers is 3 x 37 x 1 x 74 = 8214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/8214
Therefore, the GCF of Fractions 1335/111,6375/8214 is 15/8214
Least Common Multiple of 111,8214 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 111,8214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,8214) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(111,8214) x common factors =111 x 1 = 111
LCM(111,8214) = ( 111 × 8214 ) / 111
LCM(111,8214) = 911754 / 111
LCM(111,8214) = 8214
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FAQs on GCF of Fractions of 1335/111, 6375/8214
1. What is the HCF of 1335,6375?
The HCF of 1335,6375 is 15
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 1335/111, 6375/8214?
Answer: GCF of Numerators as per given numbers 1335/111, 6375/8214 is
GCF of Numerators i.e. for 1335,6375 is 15
LCM of denominators i.e. for 111,8214 is 8214.
Thus, GCF of Fractions is 15/8214.Finally, GCF of Fractions for 1335/111, 6375/8214 is 15/8214.