GCF of 3467/476, 1785/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3467/476, 1785/388 i.e 1/46172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3467/476, 1785/388.
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 3467/476,1785/388?
Given fractions are 3467/476,1785/388
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 3467/476,1785/388, numerators are 3467,1785
Denominators are 476,388
The GCF of 3467,1785 is 1 .
LCM of 476,388 is 46172.
The greatest common factor of 3467/476,1785/388 = [GCF of 3467,1785]/[LCM of 476,388]= 1/46172
Therefore, the GCF of 3467/476,1785/388 is 1/46172.
To find the highest common factor of 3467,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 3467 are 1, 3467
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 3467,1785 is 1.
Lets's calculate GCF of 3467,1785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3467,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 3467
:1,3467
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 3467,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 3467,1785 is 1.
Lets's calculate LCM of 476,388
| 2 | 476, 388 |
| 2 | 238, 194 |
| 119, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 97 = 46172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46172
Therefore, the GCF of Fractions 3467/476,1785/388 is 1/46172
Least Common Multiple of 476,388 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 476,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,388) x common factors =4 x 1 = 4
LCM(476,388) = ( 476 × 388 ) / 4
LCM(476,388) = 184688 / 4
LCM(476,388) = 46172
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FAQs on GCF of Fractions of 3467/476, 1785/388
1. What is the HCF of 3467,1785?
The HCF of 3467,1785 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 3467/476, 1785/388?
Answer: GCF of Numerators as per given numbers 3467/476, 1785/388 is
GCF of Numerators i.e. for 3467,1785 is 1
LCM of denominators i.e. for 476,388 is 46172.
Thus, GCF of Fractions is 1/46172.Finally, GCF of Fractions for 3467/476, 1785/388 is 1/46172.