GCF of 3131/730, 3494/8806
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3131/730, 3494/8806 i.e 1/3214190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3131/730, 3494/8806.
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 3131/730,3494/8806?
Given fractions are 3131/730,3494/8806
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 3131/730,3494/8806, numerators are 3131,3494
Denominators are 730,8806
The GCF of 3131,3494 is 1 .
LCM of 730,8806 is 3214190.
The greatest common factor of 3131/730,3494/8806 = [GCF of 3131,3494]/[LCM of 730,8806]= 1/3214190
Therefore, the GCF of 3131/730,3494/8806 is 1/3214190.
To find the highest common factor of 3131,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 3131 are 1, 31, 101, 3131
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 3131,3494 is 1.
Lets's calculate GCF of 3131,3494
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3131,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 3131
:1,31,101,3131
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 3131,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 3131,3494 is 1.
Lets's calculate LCM of 730,8806
| 2 | 730, 8806 |
| 365, 4403 |
∴ So the LCM of the given numbers is 2 x 365 x 4403 = 3214190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3214190
Therefore, the GCF of Fractions 3131/730,3494/8806 is 1/3214190
Least Common Multiple of 730,8806 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 730,8806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,8806) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,8806) x common factors =2 x 1 = 2
LCM(730,8806) = ( 730 × 8806 ) / 2
LCM(730,8806) = 6428380 / 2
LCM(730,8806) = 3214190
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FAQs on GCF of Fractions of 3131/730, 3494/8806
1. What is the HCF of 3131,3494?
The HCF of 3131,3494 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 3131/730, 3494/8806?
Answer: GCF of Numerators as per given numbers 3131/730, 3494/8806 is
GCF of Numerators i.e. for 3131,3494 is 1
LCM of denominators i.e. for 730,8806 is 3214190.
Thus, GCF of Fractions is 1/3214190.Finally, GCF of Fractions for 3131/730, 3494/8806 is 1/3214190.