GCF of 5306/368, 9212/7728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5306/368, 9212/7728 i.e 14/7728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5306/368, 9212/7728.
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 5306/368,9212/7728?
Given fractions are 5306/368,9212/7728
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 5306/368,9212/7728, numerators are 5306,9212
Denominators are 368,7728
The GCF of 5306,9212 is 14 .
LCM of 368,7728 is 7728.
The greatest common factor of 5306/368,9212/7728 = [GCF of 5306,9212]/[LCM of 368,7728]= 14/7728
Therefore, the GCF of 5306/368,9212/7728 is 14/7728.
To find the highest common factor of 5306,9212, we have to find the factors of both numbers and list the highest common factor.
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The HCF of 5306,9212 is 14.
Lets's calculate GCF of 5306,9212
| 2 | 5306, 9212 |
| 7 | 2653, 4606 |
| 379, 658 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5306,9212 By Matching Biggest Common Factor Method
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Greatest Common Factor
We found the factors 5306,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,9212 is 14.
Lets's calculate LCM of 368,7728
| 2 | 368, 7728 |
| 2 | 184, 3864 |
| 2 | 92, 1932 |
| 2 | 46, 966 |
| 23 | 23, 483 |
| 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 1 x 21 = 7728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7728
Therefore, the GCF of Fractions 5306/368,9212/7728 is 14/7728
Least Common Multiple of 368,7728 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 368,7728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,7728) = 368
common factors(in case of two or more numbers have common factors) = 1
GCF(368,7728) x common factors =368 x 1 = 368
LCM(368,7728) = ( 368 × 7728 ) / 368
LCM(368,7728) = 2843904 / 368
LCM(368,7728) = 7728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5306/368, 9212/7728
1. What is the HCF of 5306,9212?
The HCF of 5306,9212 is 14
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 5306/368, 9212/7728?
Answer: GCF of Numerators as per given numbers 5306/368, 9212/7728 is
GCF of Numerators i.e. for 5306,9212 is 14
LCM of denominators i.e. for 368,7728 is 7728.
Thus, GCF of Fractions is 14/7728.Finally, GCF of Fractions for 5306/368, 9212/7728 is 14/7728.