GCF of 6268/969, 2766/1515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6268/969, 2766/1515 i.e 2/489345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6268/969, 2766/1515.
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 6268/969,2766/1515?
Given fractions are 6268/969,2766/1515
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 6268/969,2766/1515, numerators are 6268,2766
Denominators are 969,1515
The GCF of 6268,2766 is 2 .
LCM of 969,1515 is 489345.
The greatest common factor of 6268/969,2766/1515 = [GCF of 6268,2766]/[LCM of 969,1515]= 2/489345
Therefore, the GCF of 6268/969,2766/1515 is 2/489345.
To find the highest common factor of 6268,2766, we have to find the factors of both numbers and list the highest common factor.
The factors of 6268 are 1, 2, 4, 1567, 3134, 6268
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The HCF of 6268,2766 is 2.
Lets's calculate GCF of 6268,2766
| 2 | 6268, 2766 |
| 3134, 1383 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6268,2766 By Matching Biggest Common Factor Method
Now, list down the factors of 6268
:1,2,4,1567,3134,6268
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Greatest Common Factor
We found the factors 6268,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,2766 is 2.
Lets's calculate LCM of 969,1515
| 3 | 969, 1515 |
| 323, 505 |
∴ So the LCM of the given numbers is 3 x 323 x 505 = 489345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/489345
Therefore, the GCF of Fractions 6268/969,2766/1515 is 2/489345
Least Common Multiple of 969,1515 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 969,1515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,1515) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,1515) x common factors =3 x 1 = 3
LCM(969,1515) = ( 969 × 1515 ) / 3
LCM(969,1515) = 1468035 / 3
LCM(969,1515) = 489345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6268/969, 2766/1515
1. What is the HCF of 6268,2766?
The HCF of 6268,2766 is 2
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 6268/969, 2766/1515?
Answer: GCF of Numerators as per given numbers 6268/969, 2766/1515 is
GCF of Numerators i.e. for 6268,2766 is 2
LCM of denominators i.e. for 969,1515 is 489345.
Thus, GCF of Fractions is 2/489345.Finally, GCF of Fractions for 6268/969, 2766/1515 is 2/489345.