GCF of 3421/112, 5065/8164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3421/112, 5065/8164 i.e 1/228592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3421/112, 5065/8164.
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 3421/112,5065/8164?
Given fractions are 3421/112,5065/8164
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 3421/112,5065/8164, numerators are 3421,5065
Denominators are 112,8164
The GCF of 3421,5065 is 1 .
LCM of 112,8164 is 228592.
The greatest common factor of 3421/112,5065/8164 = [GCF of 3421,5065]/[LCM of 112,8164]= 1/228592
Therefore, the GCF of 3421/112,5065/8164 is 1/228592.
To find the highest common factor of 3421,5065, 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 5065 are 1, 5, 1013, 5065
The HCF of 3421,5065 is 1.
Lets's calculate GCF of 3421,5065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3421,5065 By Matching Biggest Common Factor Method
Now, list down the factors of 3421
:1,11,311,3421
Now, list down the factors of 5065
:1,5,1013,5065
Greatest Common Factor
We found the factors 3421,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 3421,5065 is 1.
Lets's calculate LCM of 112,8164
| 2 | 112, 8164 |
| 2 | 56, 4082 |
| 28, 2041 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 2041 = 228592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228592
Therefore, the GCF of Fractions 3421/112,5065/8164 is 1/228592
Least Common Multiple of 112,8164 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 112,8164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,8164) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,8164) x common factors =4 x 1 = 4
LCM(112,8164) = ( 112 × 8164 ) / 4
LCM(112,8164) = 914368 / 4
LCM(112,8164) = 228592
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FAQs on GCF of Fractions of 3421/112, 5065/8164
1. What is the HCF of 3421,5065?
The HCF of 3421,5065 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 3421/112, 5065/8164?
Answer: GCF of Numerators as per given numbers 3421/112, 5065/8164 is
GCF of Numerators i.e. for 3421,5065 is 1
LCM of denominators i.e. for 112,8164 is 228592.
Thus, GCF of Fractions is 1/228592.Finally, GCF of Fractions for 3421/112, 5065/8164 is 1/228592.