GCF of 1309/678, 1993/4953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1309/678, 1993/4953 i.e 1/1119378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1309/678, 1993/4953.
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 1309/678,1993/4953?
Given fractions are 1309/678,1993/4953
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 1309/678,1993/4953, numerators are 1309,1993
Denominators are 678,4953
The GCF of 1309,1993 is 1 .
LCM of 678,4953 is 1119378.
The greatest common factor of 1309/678,1993/4953 = [GCF of 1309,1993]/[LCM of 678,4953]= 1/1119378
Therefore, the GCF of 1309/678,1993/4953 is 1/1119378.
To find the highest common factor of 1309,1993, we have to find the factors of both numbers and list the highest common factor.
The factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309
The factors of 1993 are 1, 1993
The HCF of 1309,1993 is 1.
Lets's calculate GCF of 1309,1993
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1309,1993 By Matching Biggest Common Factor Method
Now, list down the factors of 1309
:1,7,11,17,77,119,187,1309
Now, list down the factors of 1993
:1,1993
Greatest Common Factor
We found the factors 1309,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 1309,1993 is 1.
Lets's calculate LCM of 678,4953
| 3 | 678, 4953 |
| 226, 1651 |
∴ So the LCM of the given numbers is 3 x 226 x 1651 = 1119378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1119378
Therefore, the GCF of Fractions 1309/678,1993/4953 is 1/1119378
Least Common Multiple of 678,4953 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 678,4953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,4953) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,4953) x common factors =3 x 1 = 3
LCM(678,4953) = ( 678 × 4953 ) / 3
LCM(678,4953) = 3358134 / 3
LCM(678,4953) = 1119378
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FAQs on GCF of Fractions of 1309/678, 1993/4953
1. What is the HCF of 1309,1993?
The HCF of 1309,1993 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 1309/678, 1993/4953?
Answer: GCF of Numerators as per given numbers 1309/678, 1993/4953 is
GCF of Numerators i.e. for 1309,1993 is 1
LCM of denominators i.e. for 678,4953 is 1119378.
Thus, GCF of Fractions is 1/1119378.Finally, GCF of Fractions for 1309/678, 1993/4953 is 1/1119378.