GCF of 47/65, 424/65, 290/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 47/65, 424/65, 290/320 i.e 1/4160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/65, 424/65, 290/320.
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 47/65,424/65,290/320?
Given fractions are 47/65,424/65,290/320
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 47/65,424/65,290/320, numerators are 47,424,290
Denominators are 65,65,320
The GCF of 47,424,290 is 1 .
LCM of 65,65,320 is 4160.
The greatest common factor of 47/65,424/65,290/320 = [GCF of 47,424,290]/[LCM of 65,65,320]= 1/4160
Therefore, the GCF of 47/65,424/65,290/320 is 1/4160.
To find the highest common factor of 47,424,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 47,424,290 is 1.
Lets's calculate GCF of 47,424,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 47,424,290 By Matching Biggest Common Factor Method
Now, list down the factors of 47
:1,47
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 47,424,290 . The biggest common factor number is the GCF number.
So the greatest common factor 47,424,290 is 1.
Lets's calculate LCM of 65,65,320
| 5 | 65, 65, 320 |
| 13 | 13, 13, 64 |
| 1, 1, 64 |
∴ So the LCM of the given numbers is 5 x 13 x 1 x 1 x 64 = 4160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4160
Therefore, the GCF of Fractions 47/65,424/65,290/320 is 1/4160
Least Common Multiple of 65,65,320 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 65,65,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,65,320) = 5
common factors(in case of two or more numbers have common factors) = 65
GCF(65,65,320) x common factors =5 x 65 = 325
LCM(65,65,320) = ( 65 × 65 × 320 ) / 325
LCM(65,65,320) = 1352000 / 325
LCM(65,65,320) = 4160
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FAQs on GCF of Fractions of 47/65, 424/65, 290/320
1. What is the HCF of 47,424,290?
The HCF of 47,424,290 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 47/65, 424/65, 290/320?
Answer: GCF of Numerators as per given numbers 47/65, 424/65, 290/320 is
GCF of Numerators i.e. for 47,424,290 is 1
LCM of denominators i.e. for 65,65,320 is 4160.
Thus, GCF of Fractions is 1/4160.Finally, GCF of Fractions for 47/65, 424/65, 290/320 is 1/4160.