GCF of 2248/956, 5221/9056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2248/956, 5221/9056 i.e 1/2164384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2248/956, 5221/9056.
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 2248/956,5221/9056?
Given fractions are 2248/956,5221/9056
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 2248/956,5221/9056, numerators are 2248,5221
Denominators are 956,9056
The GCF of 2248,5221 is 1 .
LCM of 956,9056 is 2164384.
The greatest common factor of 2248/956,5221/9056 = [GCF of 2248,5221]/[LCM of 956,9056]= 1/2164384
Therefore, the GCF of 2248/956,5221/9056 is 1/2164384.
To find the highest common factor of 2248,5221, we have to find the factors of both numbers and list the highest common factor.
The factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248
The factors of 5221 are 1, 23, 227, 5221
The HCF of 2248,5221 is 1.
Lets's calculate GCF of 2248,5221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2248,5221 By Matching Biggest Common Factor Method
Now, list down the factors of 2248
:1,2,4,8,281,562,1124,2248
Now, list down the factors of 5221
:1,23,227,5221
Greatest Common Factor
We found the factors 2248,5221 . The biggest common factor number is the GCF number.
So the greatest common factor 2248,5221 is 1.
Lets's calculate LCM of 956,9056
| 2 | 956, 9056 |
| 2 | 478, 4528 |
| 239, 2264 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 2264 = 2164384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2164384
Therefore, the GCF of Fractions 2248/956,5221/9056 is 1/2164384
Least Common Multiple of 956,9056 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 956,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,9056) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,9056) x common factors =4 x 1 = 4
LCM(956,9056) = ( 956 × 9056 ) / 4
LCM(956,9056) = 8657536 / 4
LCM(956,9056) = 2164384
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FAQs on GCF of Fractions of 2248/956, 5221/9056
1. What is the HCF of 2248,5221?
The HCF of 2248,5221 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 2248/956, 5221/9056?
Answer: GCF of Numerators as per given numbers 2248/956, 5221/9056 is
GCF of Numerators i.e. for 2248,5221 is 1
LCM of denominators i.e. for 956,9056 is 2164384.
Thus, GCF of Fractions is 1/2164384.Finally, GCF of Fractions for 2248/956, 5221/9056 is 1/2164384.