GCF of 3111/814, 5238/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3111/814, 5238/700 i.e 3/284900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3111/814, 5238/700.
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 3111/814,5238/700?
Given fractions are 3111/814,5238/700
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 3111/814,5238/700, numerators are 3111,5238
Denominators are 814,700
The GCF of 3111,5238 is 3 .
LCM of 814,700 is 284900.
The greatest common factor of 3111/814,5238/700 = [GCF of 3111,5238]/[LCM of 814,700]= 3/284900
Therefore, the GCF of 3111/814,5238/700 is 3/284900.
To find the highest common factor of 3111,5238, we have to find the factors of both numbers and list the highest common factor.
The factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111
The factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The HCF of 3111,5238 is 3.
Lets's calculate GCF of 3111,5238
| 3 | 3111, 5238 |
| 1037, 1746 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3111,5238 By Matching Biggest Common Factor Method
Now, list down the factors of 3111
:1,3,17,51,61,183,1037,3111
Now, list down the factors of 5238
:1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 3111,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 3111,5238 is 3.
Lets's calculate LCM of 814,700
| 2 | 814, 700 |
| 407, 350 |
∴ So the LCM of the given numbers is 2 x 407 x 350 = 284900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/284900
Therefore, the GCF of Fractions 3111/814,5238/700 is 3/284900
Least Common Multiple of 814,700 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 814,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,700) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,700) x common factors =2 x 1 = 2
LCM(814,700) = ( 814 × 700 ) / 2
LCM(814,700) = 569800 / 2
LCM(814,700) = 284900
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FAQs on GCF of Fractions of 3111/814, 5238/700
1. What is the HCF of 3111,5238?
The HCF of 3111,5238 is 3
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 3111/814, 5238/700?
Answer: GCF of Numerators as per given numbers 3111/814, 5238/700 is
GCF of Numerators i.e. for 3111,5238 is 3
LCM of denominators i.e. for 814,700 is 284900.
Thus, GCF of Fractions is 3/284900.Finally, GCF of Fractions for 3111/814, 5238/700 is 3/284900.