GCF of 8877/554, 2596/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8877/554, 2596/815 i.e 11/451510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8877/554, 2596/815.
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 8877/554,2596/815?
Given fractions are 8877/554,2596/815
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 8877/554,2596/815, numerators are 8877,2596
Denominators are 554,815
The GCF of 8877,2596 is 11 .
LCM of 554,815 is 451510.
The greatest common factor of 8877/554,2596/815 = [GCF of 8877,2596]/[LCM of 554,815]= 11/451510
Therefore, the GCF of 8877/554,2596/815 is 11/451510.
To find the highest common factor of 8877,2596, we have to find the factors of both numbers and list the highest common factor.
The factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877
The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596
The HCF of 8877,2596 is 11.
Lets's calculate GCF of 8877,2596
| 11 | 8877, 2596 |
| 807, 236 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8877,2596 By Matching Biggest Common Factor Method
Now, list down the factors of 8877
:1,3,11,33,269,807,2959,8877
Now, list down the factors of 2596
:1,2,4,11,22,44,59,118,236,649,1298,2596
Greatest Common Factor
We found the factors 8877,2596 . The biggest common factor number is the GCF number.
So the greatest common factor 8877,2596 is 11.
Lets's calculate LCM of 554,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 451510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/451510
Therefore, the GCF of Fractions 8877/554,2596/815 is 11/451510
Least Common Multiple of 554,815 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 554,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,815) x common factors =1 x 1 = 1
LCM(554,815) = ( 554 × 815 ) / 1
LCM(554,815) = 451510 / 1
LCM(554,815) = 451510
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FAQs on GCF of Fractions of 8877/554, 2596/815
1. What is the HCF of 8877,2596?
The HCF of 8877,2596 is 11
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 8877/554, 2596/815?
Answer: GCF of Numerators as per given numbers 8877/554, 2596/815 is
GCF of Numerators i.e. for 8877,2596 is 11
LCM of denominators i.e. for 554,815 is 451510.
Thus, GCF of Fractions is 11/451510.Finally, GCF of Fractions for 8877/554, 2596/815 is 11/451510.