GCF of 3310/296, 1071/8520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3310/296, 1071/8520 i.e 1/315240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3310/296, 1071/8520.
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 3310/296,1071/8520?
Given fractions are 3310/296,1071/8520
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 3310/296,1071/8520, numerators are 3310,1071
Denominators are 296,8520
The GCF of 3310,1071 is 1 .
LCM of 296,8520 is 315240.
The greatest common factor of 3310/296,1071/8520 = [GCF of 3310,1071]/[LCM of 296,8520]= 1/315240
Therefore, the GCF of 3310/296,1071/8520 is 1/315240.
To find the highest common factor of 3310,1071, we have to find the factors of both numbers and list the highest common factor.
The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310
The factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071
The HCF of 3310,1071 is 1.
Lets's calculate GCF of 3310,1071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3310,1071 By Matching Biggest Common Factor Method
Now, list down the factors of 3310
:1,2,5,10,331,662,1655,3310
Now, list down the factors of 1071
:1,3,7,9,17,21,51,63,119,153,357,1071
Greatest Common Factor
We found the factors 3310,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,1071 is 1.
Lets's calculate LCM of 296,8520
| 2 | 296, 8520 |
| 2 | 148, 4260 |
| 2 | 74, 2130 |
| 37, 1065 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 1065 = 315240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315240
Therefore, the GCF of Fractions 3310/296,1071/8520 is 1/315240
Least Common Multiple of 296,8520 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 296,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,8520) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,8520) x common factors =8 x 1 = 8
LCM(296,8520) = ( 296 × 8520 ) / 8
LCM(296,8520) = 2521920 / 8
LCM(296,8520) = 315240
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FAQs on GCF of Fractions of 3310/296, 1071/8520
1. What is the HCF of 3310,1071?
The HCF of 3310,1071 is 1
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 3310/296, 1071/8520?
Answer: GCF of Numerators as per given numbers 3310/296, 1071/8520 is
GCF of Numerators i.e. for 3310,1071 is 1
LCM of denominators i.e. for 296,8520 is 315240.
Thus, GCF of Fractions is 1/315240.Finally, GCF of Fractions for 3310/296, 1071/8520 is 1/315240.