GCF of 2849/459, 2562/9849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2849/459, 2562/9849 i.e 7/1506897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2849/459, 2562/9849.
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 2849/459,2562/9849?
Given fractions are 2849/459,2562/9849
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 2849/459,2562/9849, numerators are 2849,2562
Denominators are 459,9849
The GCF of 2849,2562 is 7 .
LCM of 459,9849 is 1506897.
The greatest common factor of 2849/459,2562/9849 = [GCF of 2849,2562]/[LCM of 459,9849]= 7/1506897
Therefore, the GCF of 2849/459,2562/9849 is 7/1506897.
To find the highest common factor of 2849,2562, we have to find the factors of both numbers and list the highest common factor.
The factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849
The factors of 2562 are 1, 2, 3, 6, 7, 14, 21, 42, 61, 122, 183, 366, 427, 854, 1281, 2562
The HCF of 2849,2562 is 7.
Lets's calculate GCF of 2849,2562
| 7 | 2849, 2562 |
| 407, 366 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2849,2562 By Matching Biggest Common Factor Method
Now, list down the factors of 2849
:1,7,11,37,77,259,407,2849
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 2849,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 2849,2562 is 7.
Lets's calculate LCM of 459,9849
| 3 | 459, 9849 |
| 153, 3283 |
∴ So the LCM of the given numbers is 3 x 153 x 3283 = 1506897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1506897
Therefore, the GCF of Fractions 2849/459,2562/9849 is 7/1506897
Least Common Multiple of 459,9849 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 459,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,9849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(459,9849) x common factors =3 x 1 = 3
LCM(459,9849) = ( 459 × 9849 ) / 3
LCM(459,9849) = 4520691 / 3
LCM(459,9849) = 1506897
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FAQs on GCF of Fractions of 2849/459, 2562/9849
1. What is the HCF of 2849,2562?
The HCF of 2849,2562 is 7
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 2849/459, 2562/9849?
Answer: GCF of Numerators as per given numbers 2849/459, 2562/9849 is
GCF of Numerators i.e. for 2849,2562 is 7
LCM of denominators i.e. for 459,9849 is 1506897.
Thus, GCF of Fractions is 7/1506897.Finally, GCF of Fractions for 2849/459, 2562/9849 is 7/1506897.