GCF of 1627/574, 4944/3872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1627/574, 4944/3872 i.e 1/1111264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1627/574, 4944/3872.
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 1627/574,4944/3872?
Given fractions are 1627/574,4944/3872
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 1627/574,4944/3872, numerators are 1627,4944
Denominators are 574,3872
The GCF of 1627,4944 is 1 .
LCM of 574,3872 is 1111264.
The greatest common factor of 1627/574,4944/3872 = [GCF of 1627,4944]/[LCM of 574,3872]= 1/1111264
Therefore, the GCF of 1627/574,4944/3872 is 1/1111264.
To find the highest common factor of 1627,4944, we have to find the factors of both numbers and list the highest common factor.
The factors of 1627 are 1, 1627
The factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944
The HCF of 1627,4944 is 1.
Lets's calculate GCF of 1627,4944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1627,4944 By Matching Biggest Common Factor Method
Now, list down the factors of 1627
:1,1627
Now, list down the factors of 4944
:1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 1627,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 1627,4944 is 1.
Lets's calculate LCM of 574,3872
| 2 | 574, 3872 |
| 287, 1936 |
∴ So the LCM of the given numbers is 2 x 287 x 1936 = 1111264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1111264
Therefore, the GCF of Fractions 1627/574,4944/3872 is 1/1111264
Least Common Multiple of 574,3872 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 574,3872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,3872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,3872) x common factors =2 x 1 = 2
LCM(574,3872) = ( 574 × 3872 ) / 2
LCM(574,3872) = 2222528 / 2
LCM(574,3872) = 1111264
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FAQs on GCF of Fractions of 1627/574, 4944/3872
1. What is the HCF of 1627,4944?
The HCF of 1627,4944 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 1627/574, 4944/3872?
Answer: GCF of Numerators as per given numbers 1627/574, 4944/3872 is
GCF of Numerators i.e. for 1627,4944 is 1
LCM of denominators i.e. for 574,3872 is 1111264.
Thus, GCF of Fractions is 1/1111264.Finally, GCF of Fractions for 1627/574, 4944/3872 is 1/1111264.