GCF of 5136/245, 2247/8820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5136/245, 2247/8820 i.e 321/8820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5136/245, 2247/8820.
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 5136/245,2247/8820?
Given fractions are 5136/245,2247/8820
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 5136/245,2247/8820, numerators are 5136,2247
Denominators are 245,8820
The GCF of 5136,2247 is 321 .
LCM of 245,8820 is 8820.
The greatest common factor of 5136/245,2247/8820 = [GCF of 5136,2247]/[LCM of 245,8820]= 321/8820
Therefore, the GCF of 5136/245,2247/8820 is 321/8820.
To find the highest common factor of 5136,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 5136,2247 is 321.
Lets's calculate GCF of 5136,2247
| 3 | 5136, 2247 |
| 107 | 1712, 749 |
| 16, 7 |
∴ So the GCF of the given numbers is 3 x 107 = 321
Greatest Common Factor of 5136,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 5136
:1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 5136,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 5136,2247 is 321.
Lets's calculate LCM of 245,8820
| 5 | 245, 8820 |
| 7 | 49, 1764 |
| 7 | 7, 252 |
| 1, 36 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 1 x 36 = 8820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 321/8820
Therefore, the GCF of Fractions 5136/245,2247/8820 is 321/8820
Least Common Multiple of 245,8820 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 245,8820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,8820) = 245
common factors(in case of two or more numbers have common factors) = 1
GCF(245,8820) x common factors =245 x 1 = 245
LCM(245,8820) = ( 245 × 8820 ) / 245
LCM(245,8820) = 2160900 / 245
LCM(245,8820) = 8820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5136/245, 2247/8820
1. What is the HCF of 5136,2247?
The HCF of 5136,2247 is 321
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 5136/245, 2247/8820?
Answer: GCF of Numerators as per given numbers 5136/245, 2247/8820 is
GCF of Numerators i.e. for 5136,2247 is 321
LCM of denominators i.e. for 245,8820 is 8820.
Thus, GCF of Fractions is 321/8820.Finally, GCF of Fractions for 5136/245, 2247/8820 is 321/8820.