GCF of 2313/228, 7688/7190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2313/228, 7688/7190 i.e 1/819660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2313/228, 7688/7190.
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 2313/228,7688/7190?
Given fractions are 2313/228,7688/7190
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 2313/228,7688/7190, numerators are 2313,7688
Denominators are 228,7190
The GCF of 2313,7688 is 1 .
LCM of 228,7190 is 819660.
The greatest common factor of 2313/228,7688/7190 = [GCF of 2313,7688]/[LCM of 228,7190]= 1/819660
Therefore, the GCF of 2313/228,7688/7190 is 1/819660.
To find the highest common factor of 2313,7688, we have to find the factors of both numbers and list the highest common factor.
The factors of 2313 are 1, 3, 9, 257, 771, 2313
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The HCF of 2313,7688 is 1.
Lets's calculate GCF of 2313,7688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2313,7688 By Matching Biggest Common Factor Method
Now, list down the factors of 2313
:1,3,9,257,771,2313
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Greatest Common Factor
We found the factors 2313,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,7688 is 1.
Lets's calculate LCM of 228,7190
| 2 | 228, 7190 |
| 114, 3595 |
∴ So the LCM of the given numbers is 2 x 114 x 3595 = 819660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/819660
Therefore, the GCF of Fractions 2313/228,7688/7190 is 1/819660
Least Common Multiple of 228,7190 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 228,7190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,7190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,7190) x common factors =2 x 1 = 2
LCM(228,7190) = ( 228 × 7190 ) / 2
LCM(228,7190) = 1639320 / 2
LCM(228,7190) = 819660
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FAQs on GCF of Fractions of 2313/228, 7688/7190
1. What is the HCF of 2313,7688?
The HCF of 2313,7688 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 2313/228, 7688/7190?
Answer: GCF of Numerators as per given numbers 2313/228, 7688/7190 is
GCF of Numerators i.e. for 2313,7688 is 1
LCM of denominators i.e. for 228,7190 is 819660.
Thus, GCF of Fractions is 1/819660.Finally, GCF of Fractions for 2313/228, 7688/7190 is 1/819660.