GCF of 9581/880, 2559/5080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9581/880, 2559/5080 i.e 1/111760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9581/880, 2559/5080.
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 9581/880,2559/5080?
Given fractions are 9581/880,2559/5080
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 9581/880,2559/5080, numerators are 9581,2559
Denominators are 880,5080
The GCF of 9581,2559 is 1 .
LCM of 880,5080 is 111760.
The greatest common factor of 9581/880,2559/5080 = [GCF of 9581,2559]/[LCM of 880,5080]= 1/111760
Therefore, the GCF of 9581/880,2559/5080 is 1/111760.
To find the highest common factor of 9581,2559, we have to find the factors of both numbers and list the highest common factor.
The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581
The factors of 2559 are 1, 3, 853, 2559
The HCF of 9581,2559 is 1.
Lets's calculate GCF of 9581,2559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9581,2559 By Matching Biggest Common Factor Method
Now, list down the factors of 9581
:1,11,13,67,143,737,871,9581
Now, list down the factors of 2559
:1,3,853,2559
Greatest Common Factor
We found the factors 9581,2559 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,2559 is 1.
Lets's calculate LCM of 880,5080
| 2 | 880, 5080 |
| 2 | 440, 2540 |
| 2 | 220, 1270 |
| 5 | 110, 635 |
| 22, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 22 x 127 = 111760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111760
Therefore, the GCF of Fractions 9581/880,2559/5080 is 1/111760
Least Common Multiple of 880,5080 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 880,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,5080) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(880,5080) x common factors =40 x 1 = 40
LCM(880,5080) = ( 880 × 5080 ) / 40
LCM(880,5080) = 4470400 / 40
LCM(880,5080) = 111760
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FAQs on GCF of Fractions of 9581/880, 2559/5080
1. What is the HCF of 9581,2559?
The HCF of 9581,2559 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 9581/880, 2559/5080?
Answer: GCF of Numerators as per given numbers 9581/880, 2559/5080 is
GCF of Numerators i.e. for 9581,2559 is 1
LCM of denominators i.e. for 880,5080 is 111760.
Thus, GCF of Fractions is 1/111760.Finally, GCF of Fractions for 9581/880, 2559/5080 is 1/111760.