GCF of 3321/240, 4707/8230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3321/240, 4707/8230 i.e 9/197520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3321/240, 4707/8230.
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 3321/240,4707/8230?
Given fractions are 3321/240,4707/8230
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 3321/240,4707/8230, numerators are 3321,4707
Denominators are 240,8230
The GCF of 3321,4707 is 9 .
LCM of 240,8230 is 197520.
The greatest common factor of 3321/240,4707/8230 = [GCF of 3321,4707]/[LCM of 240,8230]= 9/197520
Therefore, the GCF of 3321/240,4707/8230 is 9/197520.
To find the highest common factor of 3321,4707, we have to find the factors of both numbers and list the highest common factor.
The factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The HCF of 3321,4707 is 9.
Lets's calculate GCF of 3321,4707
| 3 | 3321, 4707 |
| 3 | 1107, 1569 |
| 369, 523 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3321,4707 By Matching Biggest Common Factor Method
Now, list down the factors of 3321
:1,3,9,27,41,81,123,369,1107,3321
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Greatest Common Factor
We found the factors 3321,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 3321,4707 is 9.
Lets's calculate LCM of 240,8230
| 2 | 240, 8230 |
| 5 | 120, 4115 |
| 24, 823 |
∴ So the LCM of the given numbers is 2 x 5 x 24 x 823 = 197520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/197520
Therefore, the GCF of Fractions 3321/240,4707/8230 is 9/197520
Least Common Multiple of 240,8230 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 240,8230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,8230) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(240,8230) x common factors =10 x 1 = 10
LCM(240,8230) = ( 240 × 8230 ) / 10
LCM(240,8230) = 1975200 / 10
LCM(240,8230) = 197520
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FAQs on GCF of Fractions of 3321/240, 4707/8230
1. What is the HCF of 3321,4707?
The HCF of 3321,4707 is 9
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 3321/240, 4707/8230?
Answer: GCF of Numerators as per given numbers 3321/240, 4707/8230 is
GCF of Numerators i.e. for 3321,4707 is 9
LCM of denominators i.e. for 240,8230 is 197520.
Thus, GCF of Fractions is 9/197520.Finally, GCF of Fractions for 3321/240, 4707/8230 is 9/197520.