GCF of 5151/930, 9653/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5151/930, 9653/369 i.e 1/114390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5151/930, 9653/369.
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 5151/930,9653/369?
Given fractions are 5151/930,9653/369
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 5151/930,9653/369, numerators are 5151,9653
Denominators are 930,369
The GCF of 5151,9653 is 1 .
LCM of 930,369 is 114390.
The greatest common factor of 5151/930,9653/369 = [GCF of 5151,9653]/[LCM of 930,369]= 1/114390
Therefore, the GCF of 5151/930,9653/369 is 1/114390.
To find the highest common factor of 5151,9653, we have to find the factors of both numbers and list the highest common factor.
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The HCF of 5151,9653 is 1.
Lets's calculate GCF of 5151,9653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5151,9653 By Matching Biggest Common Factor Method
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Greatest Common Factor
We found the factors 5151,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,9653 is 1.
Lets's calculate LCM of 930,369
| 3 | 930, 369 |
| 310, 123 |
∴ So the LCM of the given numbers is 3 x 310 x 123 = 114390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114390
Therefore, the GCF of Fractions 5151/930,9653/369 is 1/114390
Least Common Multiple of 930,369 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 930,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(930,369) x common factors =3 x 1 = 3
LCM(930,369) = ( 930 × 369 ) / 3
LCM(930,369) = 343170 / 3
LCM(930,369) = 114390
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FAQs on GCF of Fractions of 5151/930, 9653/369
1. What is the HCF of 5151,9653?
The HCF of 5151,9653 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 5151/930, 9653/369?
Answer: GCF of Numerators as per given numbers 5151/930, 9653/369 is
GCF of Numerators i.e. for 5151,9653 is 1
LCM of denominators i.e. for 930,369 is 114390.
Thus, GCF of Fractions is 1/114390.Finally, GCF of Fractions for 5151/930, 9653/369 is 1/114390.