GCF of 4939/438, 2225/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4939/438, 2225/328 i.e 1/71832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4939/438, 2225/328.
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 4939/438,2225/328?
Given fractions are 4939/438,2225/328
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 4939/438,2225/328, numerators are 4939,2225
Denominators are 438,328
The GCF of 4939,2225 is 1 .
LCM of 438,328 is 71832.
The greatest common factor of 4939/438,2225/328 = [GCF of 4939,2225]/[LCM of 438,328]= 1/71832
Therefore, the GCF of 4939/438,2225/328 is 1/71832.
To find the highest common factor of 4939,2225, we have to find the factors of both numbers and list the highest common factor.
The factors of 4939 are 1, 11, 449, 4939
The factors of 2225 are 1, 5, 25, 89, 445, 2225
The HCF of 4939,2225 is 1.
Lets's calculate GCF of 4939,2225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4939,2225 By Matching Biggest Common Factor Method
Now, list down the factors of 4939
:1,11,449,4939
Now, list down the factors of 2225
:1,5,25,89,445,2225
Greatest Common Factor
We found the factors 4939,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 4939,2225 is 1.
Lets's calculate LCM of 438,328
| 2 | 438, 328 |
| 219, 164 |
∴ So the LCM of the given numbers is 2 x 219 x 164 = 71832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71832
Therefore, the GCF of Fractions 4939/438,2225/328 is 1/71832
Least Common Multiple of 438,328 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 438,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,328) x common factors =2 x 1 = 2
LCM(438,328) = ( 438 × 328 ) / 2
LCM(438,328) = 143664 / 2
LCM(438,328) = 71832
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FAQs on GCF of Fractions of 4939/438, 2225/328
1. What is the HCF of 4939,2225?
The HCF of 4939,2225 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 4939/438, 2225/328?
Answer: GCF of Numerators as per given numbers 4939/438, 2225/328 is
GCF of Numerators i.e. for 4939,2225 is 1
LCM of denominators i.e. for 438,328 is 71832.
Thus, GCF of Fractions is 1/71832.Finally, GCF of Fractions for 4939/438, 2225/328 is 1/71832.