GCF of 5913/249, 8991/8851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5913/249, 8991/8851 i.e 81/2203899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5913/249, 8991/8851.
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 5913/249,8991/8851?
Given fractions are 5913/249,8991/8851
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 5913/249,8991/8851, numerators are 5913,8991
Denominators are 249,8851
The GCF of 5913,8991 is 81 .
LCM of 249,8851 is 2203899.
The greatest common factor of 5913/249,8991/8851 = [GCF of 5913,8991]/[LCM of 249,8851]= 81/2203899
Therefore, the GCF of 5913/249,8991/8851 is 81/2203899.
To find the highest common factor of 5913,8991, we have to find the factors of both numbers and list the highest common factor.
The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
The factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991
The HCF of 5913,8991 is 81.
Lets's calculate GCF of 5913,8991
| 3 | 5913, 8991 |
| 3 | 1971, 2997 |
| 3 | 657, 999 |
| 3 | 219, 333 |
| 73, 111 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 3 = 81
Greatest Common Factor of 5913,8991 By Matching Biggest Common Factor Method
Now, list down the factors of 5913
:1,3,9,27,73,81,219,657,1971,5913
Now, list down the factors of 8991
:1,3,9,27,37,81,111,243,333,999,2997,8991
Greatest Common Factor
We found the factors 5913,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 5913,8991 is 81.
Lets's calculate LCM of 249,8851
Given numbers has no common factors except 1. So, there LCM is their product i.e 2203899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 81/2203899
Therefore, the GCF of Fractions 5913/249,8991/8851 is 81/2203899
Least Common Multiple of 249,8851 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 249,8851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,8851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,8851) x common factors =1 x 1 = 1
LCM(249,8851) = ( 249 × 8851 ) / 1
LCM(249,8851) = 2203899 / 1
LCM(249,8851) = 2203899
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FAQs on GCF of Fractions of 5913/249, 8991/8851
1. What is the HCF of 5913,8991?
The HCF of 5913,8991 is 81
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 5913/249, 8991/8851?
Answer: GCF of Numerators as per given numbers 5913/249, 8991/8851 is
GCF of Numerators i.e. for 5913,8991 is 81
LCM of denominators i.e. for 249,8851 is 2203899.
Thus, GCF of Fractions is 81/2203899.Finally, GCF of Fractions for 5913/249, 8991/8851 is 81/2203899.