GCF of 4552/233, 4748/5328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4552/233, 4748/5328 i.e 4/1241424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4552/233, 4748/5328.
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 4552/233,4748/5328?
Given fractions are 4552/233,4748/5328
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 4552/233,4748/5328, numerators are 4552,4748
Denominators are 233,5328
The GCF of 4552,4748 is 4 .
LCM of 233,5328 is 1241424.
The greatest common factor of 4552/233,4748/5328 = [GCF of 4552,4748]/[LCM of 233,5328]= 4/1241424
Therefore, the GCF of 4552/233,4748/5328 is 4/1241424.
To find the highest common factor of 4552,4748, we have to find the factors of both numbers and list the highest common factor.
The factors of 4552 are 1, 2, 4, 8, 569, 1138, 2276, 4552
The factors of 4748 are 1, 2, 4, 1187, 2374, 4748
The HCF of 4552,4748 is 4.
Lets's calculate GCF of 4552,4748
| 2 | 4552, 4748 |
| 2 | 2276, 2374 |
| 1138, 1187 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4552,4748 By Matching Biggest Common Factor Method
Now, list down the factors of 4552
:1,2,4,8,569,1138,2276,4552
Now, list down the factors of 4748
:1,2,4,1187,2374,4748
Greatest Common Factor
We found the factors 4552,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 4552,4748 is 4.
Lets's calculate LCM of 233,5328
Given numbers has no common factors except 1. So, there LCM is their product i.e 1241424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1241424
Therefore, the GCF of Fractions 4552/233,4748/5328 is 4/1241424
Least Common Multiple of 233,5328 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 233,5328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,5328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,5328) x common factors =1 x 1 = 1
LCM(233,5328) = ( 233 × 5328 ) / 1
LCM(233,5328) = 1241424 / 1
LCM(233,5328) = 1241424
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FAQs on GCF of Fractions of 4552/233, 4748/5328
1. What is the HCF of 4552,4748?
The HCF of 4552,4748 is 4
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 4552/233, 4748/5328?
Answer: GCF of Numerators as per given numbers 4552/233, 4748/5328 is
GCF of Numerators i.e. for 4552,4748 is 4
LCM of denominators i.e. for 233,5328 is 1241424.
Thus, GCF of Fractions is 4/1241424.Finally, GCF of Fractions for 4552/233, 4748/5328 is 4/1241424.