GCF of 4449/768, 2562/3907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4449/768, 2562/3907 i.e 3/3000576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4449/768, 2562/3907.
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 4449/768,2562/3907?
Given fractions are 4449/768,2562/3907
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 4449/768,2562/3907, numerators are 4449,2562
Denominators are 768,3907
The GCF of 4449,2562 is 3 .
LCM of 768,3907 is 3000576.
The greatest common factor of 4449/768,2562/3907 = [GCF of 4449,2562]/[LCM of 768,3907]= 3/3000576
Therefore, the GCF of 4449/768,2562/3907 is 3/3000576.
To find the highest common factor of 4449,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 4449 are 1, 3, 1483, 4449
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 4449,2562 is 3.
Lets's calculate GCF of 4449,2562
| 3 | 4449, 2562 |
| 1483, 854 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4449,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 4449
:1,3,1483,4449
Now, list down the factors of 2562
:1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 4449,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 4449,2562 is 3.
Lets's calculate LCM of 768,3907
Given numbers has no common factors except 1. So, there LCM is their product i.e 3000576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3000576
Therefore, the GCF of Fractions 4449/768,2562/3907 is 3/3000576
Least Common Multiple of 768,3907 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 768,3907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,3907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,3907) x common factors =1 x 1 = 1
LCM(768,3907) = ( 768 × 3907 ) / 1
LCM(768,3907) = 3000576 / 1
LCM(768,3907) = 3000576
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FAQs on GCF of Fractions of 4449/768, 2562/3907
1. What is the HCF of 4449,2562?
The HCF of 4449,2562 is 3
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 4449/768, 2562/3907?
Answer: GCF of Numerators as per given numbers 4449/768, 2562/3907 is
GCF of Numerators i.e. for 4449,2562 is 3
LCM of denominators i.e. for 768,3907 is 3000576.
Thus, GCF of Fractions is 3/3000576.Finally, GCF of Fractions for 4449/768, 2562/3907 is 3/3000576.