GCF of 7347/240, 9078/111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7347/240, 9078/111 i.e 3/8880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7347/240, 9078/111.
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 7347/240,9078/111?
Given fractions are 7347/240,9078/111
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 7347/240,9078/111, numerators are 7347,9078
Denominators are 240,111
The GCF of 7347,9078 is 3 .
LCM of 240,111 is 8880.
The greatest common factor of 7347/240,9078/111 = [GCF of 7347,9078]/[LCM of 240,111]= 3/8880
Therefore, the GCF of 7347/240,9078/111 is 3/8880.
To find the highest common factor of 7347,9078, we have to find the factors of both numbers and list the highest common factor.
The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347
The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078
The HCF of 7347,9078 is 3.
Lets's calculate GCF of 7347,9078
| 3 | 7347, 9078 |
| 2449, 3026 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7347,9078 By Matching Biggest Common Factor Method
Now, list down the factors of 7347
:1,3,31,79,93,237,2449,7347
Now, list down the factors of 9078
:1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors 7347,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 7347,9078 is 3.
Lets's calculate LCM of 240,111
| 3 | 240, 111 |
| 80, 37 |
∴ So the LCM of the given numbers is 3 x 80 x 37 = 8880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8880
Therefore, the GCF of Fractions 7347/240,9078/111 is 3/8880
Least Common Multiple of 240,111 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 240,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(240,111) x common factors =3 x 1 = 3
LCM(240,111) = ( 240 × 111 ) / 3
LCM(240,111) = 26640 / 3
LCM(240,111) = 8880
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FAQs on GCF of Fractions of 7347/240, 9078/111
1. What is the HCF of 7347,9078?
The HCF of 7347,9078 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 7347/240, 9078/111?
Answer: GCF of Numerators as per given numbers 7347/240, 9078/111 is
GCF of Numerators i.e. for 7347,9078 is 3
LCM of denominators i.e. for 240,111 is 8880.
Thus, GCF of Fractions is 3/8880.Finally, GCF of Fractions for 7347/240, 9078/111 is 3/8880.