GCF of 3421/404, 3370/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3421/404, 3370/880 i.e 1/88880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3421/404, 3370/880.
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 3421/404,3370/880?
Given fractions are 3421/404,3370/880
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 3421/404,3370/880, numerators are 3421,3370
Denominators are 404,880
The GCF of 3421,3370 is 1 .
LCM of 404,880 is 88880.
The greatest common factor of 3421/404,3370/880 = [GCF of 3421,3370]/[LCM of 404,880]= 1/88880
Therefore, the GCF of 3421/404,3370/880 is 1/88880.
To find the highest common factor of 3421,3370, we have to find the factors of both numbers and list the highest common factor.
The factors of 3421 are 1, 11, 311, 3421
The factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370
The HCF of 3421,3370 is 1.
Lets's calculate GCF of 3421,3370
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3421,3370 By Matching Biggest Common Factor Method
Now, list down the factors of 3421
:1,11,311,3421
Now, list down the factors of 3370
:1,2,5,10,337,674,1685,3370
Greatest Common Factor
We found the factors 3421,3370 . The biggest common factor number is the GCF number.
So the greatest common factor 3421,3370 is 1.
Lets's calculate LCM of 404,880
| 2 | 404, 880 |
| 2 | 202, 440 |
| 101, 220 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 220 = 88880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88880
Therefore, the GCF of Fractions 3421/404,3370/880 is 1/88880
Least Common Multiple of 404,880 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 404,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,880) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,880) x common factors =4 x 1 = 4
LCM(404,880) = ( 404 × 880 ) / 4
LCM(404,880) = 355520 / 4
LCM(404,880) = 88880
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FAQs on GCF of Fractions of 3421/404, 3370/880
1. What is the HCF of 3421,3370?
The HCF of 3421,3370 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 3421/404, 3370/880?
Answer: GCF of Numerators as per given numbers 3421/404, 3370/880 is
GCF of Numerators i.e. for 3421,3370 is 1
LCM of denominators i.e. for 404,880 is 88880.
Thus, GCF of Fractions is 1/88880.Finally, GCF of Fractions for 3421/404, 3370/880 is 1/88880.