GCF of 1306/644, 5153/8194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1306/644, 5153/8194 i.e 1/2638468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1306/644, 5153/8194.
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 1306/644,5153/8194?
Given fractions are 1306/644,5153/8194
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 1306/644,5153/8194, numerators are 1306,5153
Denominators are 644,8194
The GCF of 1306,5153 is 1 .
LCM of 644,8194 is 2638468.
The greatest common factor of 1306/644,5153/8194 = [GCF of 1306,5153]/[LCM of 644,8194]= 1/2638468
Therefore, the GCF of 1306/644,5153/8194 is 1/2638468.
To find the highest common factor of 1306,5153, we have to find the factors of both numbers and list the highest common factor.
The factors of 1306 are 1, 2, 653, 1306
The factors of 5153 are 1, 5153
The HCF of 1306,5153 is 1.
Lets's calculate GCF of 1306,5153
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1306,5153 By Matching Biggest Common Factor Method
Now, list down the factors of 1306
:1,2,653,1306
Now, list down the factors of 5153
:1,5153
Greatest Common Factor
We found the factors 1306,5153 . The biggest common factor number is the GCF number.
So the greatest common factor 1306,5153 is 1.
Lets's calculate LCM of 644,8194
| 2 | 644, 8194 |
| 322, 4097 |
∴ So the LCM of the given numbers is 2 x 322 x 4097 = 2638468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2638468
Therefore, the GCF of Fractions 1306/644,5153/8194 is 1/2638468
Least Common Multiple of 644,8194 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 644,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,8194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,8194) x common factors =2 x 1 = 2
LCM(644,8194) = ( 644 × 8194 ) / 2
LCM(644,8194) = 5276936 / 2
LCM(644,8194) = 2638468
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FAQs on GCF of Fractions of 1306/644, 5153/8194
1. What is the HCF of 1306,5153?
The HCF of 1306,5153 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 1306/644, 5153/8194?
Answer: GCF of Numerators as per given numbers 1306/644, 5153/8194 is
GCF of Numerators i.e. for 1306,5153 is 1
LCM of denominators i.e. for 644,8194 is 2638468.
Thus, GCF of Fractions is 1/2638468.Finally, GCF of Fractions for 1306/644, 5153/8194 is 1/2638468.