GCF of 6173/278, 4481/2492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6173/278, 4481/2492 i.e 1/346388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6173/278, 4481/2492.
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 6173/278,4481/2492?
Given fractions are 6173/278,4481/2492
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 6173/278,4481/2492, numerators are 6173,4481
Denominators are 278,2492
The GCF of 6173,4481 is 1 .
LCM of 278,2492 is 346388.
The greatest common factor of 6173/278,4481/2492 = [GCF of 6173,4481]/[LCM of 278,2492]= 1/346388
Therefore, the GCF of 6173/278,4481/2492 is 1/346388.
To find the highest common factor of 6173,4481, we have to find the factors of both numbers and list the highest common factor.
The factors of 6173 are 1, 6173
The factors of 4481 are 1, 4481
The HCF of 6173,4481 is 1.
Lets's calculate GCF of 6173,4481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6173,4481 By Matching Biggest Common Factor Method
Now, list down the factors of 6173
:1,6173
Now, list down the factors of 4481
:1,4481
Greatest Common Factor
We found the factors 6173,4481 . The biggest common factor number is the GCF number.
So the greatest common factor 6173,4481 is 1.
Lets's calculate LCM of 278,2492
| 2 | 278, 2492 |
| 139, 1246 |
∴ So the LCM of the given numbers is 2 x 139 x 1246 = 346388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346388
Therefore, the GCF of Fractions 6173/278,4481/2492 is 1/346388
Least Common Multiple of 278,2492 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 278,2492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,2492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(278,2492) x common factors =2 x 1 = 2
LCM(278,2492) = ( 278 × 2492 ) / 2
LCM(278,2492) = 692776 / 2
LCM(278,2492) = 346388
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FAQs on GCF of Fractions of 6173/278, 4481/2492
1. What is the HCF of 6173,4481?
The HCF of 6173,4481 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 6173/278, 4481/2492?
Answer: GCF of Numerators as per given numbers 6173/278, 4481/2492 is
GCF of Numerators i.e. for 6173,4481 is 1
LCM of denominators i.e. for 278,2492 is 346388.
Thus, GCF of Fractions is 1/346388.Finally, GCF of Fractions for 6173/278, 4481/2492 is 1/346388.