GCF of 5371/392, 3405/3220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5371/392, 3405/3220 i.e 1/45080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5371/392, 3405/3220.
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 5371/392,3405/3220?
Given fractions are 5371/392,3405/3220
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 5371/392,3405/3220, numerators are 5371,3405
Denominators are 392,3220
The GCF of 5371,3405 is 1 .
LCM of 392,3220 is 45080.
The greatest common factor of 5371/392,3405/3220 = [GCF of 5371,3405]/[LCM of 392,3220]= 1/45080
Therefore, the GCF of 5371/392,3405/3220 is 1/45080.
To find the highest common factor of 5371,3405, we have to find the factors of both numbers and list the highest common factor.
The factors of 5371 are 1, 41, 131, 5371
The factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405
The HCF of 5371,3405 is 1.
Lets's calculate GCF of 5371,3405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5371,3405 By Matching Biggest Common Factor Method
Now, list down the factors of 5371
:1,41,131,5371
Now, list down the factors of 3405
:1,3,5,15,227,681,1135,3405
Greatest Common Factor
We found the factors 5371,3405 . The biggest common factor number is the GCF number.
So the greatest common factor 5371,3405 is 1.
Lets's calculate LCM of 392,3220
| 2 | 392, 3220 |
| 2 | 196, 1610 |
| 7 | 98, 805 |
| 14, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 14 x 115 = 45080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45080
Therefore, the GCF of Fractions 5371/392,3405/3220 is 1/45080
Least Common Multiple of 392,3220 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 392,3220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,3220) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(392,3220) x common factors =28 x 1 = 28
LCM(392,3220) = ( 392 × 3220 ) / 28
LCM(392,3220) = 1262240 / 28
LCM(392,3220) = 45080
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FAQs on GCF of Fractions of 5371/392, 3405/3220
1. What is the HCF of 5371,3405?
The HCF of 5371,3405 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 5371/392, 3405/3220?
Answer: GCF of Numerators as per given numbers 5371/392, 3405/3220 is
GCF of Numerators i.e. for 5371,3405 is 1
LCM of denominators i.e. for 392,3220 is 45080.
Thus, GCF of Fractions is 1/45080.Finally, GCF of Fractions for 5371/392, 3405/3220 is 1/45080.