GCF of 1913/517, 8231/5456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1913/517, 8231/5456 i.e 1/256432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1913/517, 8231/5456.
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 1913/517,8231/5456?
Given fractions are 1913/517,8231/5456
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 1913/517,8231/5456, numerators are 1913,8231
Denominators are 517,5456
The GCF of 1913,8231 is 1 .
LCM of 517,5456 is 256432.
The greatest common factor of 1913/517,8231/5456 = [GCF of 1913,8231]/[LCM of 517,5456]= 1/256432
Therefore, the GCF of 1913/517,8231/5456 is 1/256432.
To find the highest common factor of 1913,8231, we have to find the factors of both numbers and list the highest common factor.
The factors of 1913 are 1, 1913
The factors of 8231 are 1, 8231
The HCF of 1913,8231 is 1.
Lets's calculate GCF of 1913,8231
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1913,8231 By Matching Biggest Common Factor Method
Now, list down the factors of 1913
:1,1913
Now, list down the factors of 8231
:1,8231
Greatest Common Factor
We found the factors 1913,8231 . The biggest common factor number is the GCF number.
So the greatest common factor 1913,8231 is 1.
Lets's calculate LCM of 517,5456
| 11 | 517, 5456 |
| 47, 496 |
∴ So the LCM of the given numbers is 11 x 47 x 496 = 256432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256432
Therefore, the GCF of Fractions 1913/517,8231/5456 is 1/256432
Least Common Multiple of 517,5456 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 517,5456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,5456) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(517,5456) x common factors =11 x 1 = 11
LCM(517,5456) = ( 517 × 5456 ) / 11
LCM(517,5456) = 2820752 / 11
LCM(517,5456) = 256432
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FAQs on GCF of Fractions of 1913/517, 8231/5456
1. What is the HCF of 1913,8231?
The HCF of 1913,8231 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 1913/517, 8231/5456?
Answer: GCF of Numerators as per given numbers 1913/517, 8231/5456 is
GCF of Numerators i.e. for 1913,8231 is 1
LCM of denominators i.e. for 517,5456 is 256432.
Thus, GCF of Fractions is 1/256432.Finally, GCF of Fractions for 1913/517, 8231/5456 is 1/256432.