GCF of 8771/867, 5512/2583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8771/867, 5512/2583 i.e 1/746487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8771/867, 5512/2583.
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 8771/867,5512/2583?
Given fractions are 8771/867,5512/2583
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 8771/867,5512/2583, numerators are 8771,5512
Denominators are 867,2583
The GCF of 8771,5512 is 1 .
LCM of 867,2583 is 746487.
The greatest common factor of 8771/867,5512/2583 = [GCF of 8771,5512]/[LCM of 867,2583]= 1/746487
Therefore, the GCF of 8771/867,5512/2583 is 1/746487.
To find the highest common factor of 8771,5512, we have to find the factors of both numbers and list the highest common factor.
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
The HCF of 8771,5512 is 1.
Lets's calculate GCF of 8771,5512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8771,5512 By Matching Biggest Common Factor Method
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Now, list down the factors of 5512
:1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Greatest Common Factor
We found the factors 8771,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 8771,5512 is 1.
Lets's calculate LCM of 867,2583
| 3 | 867, 2583 |
| 289, 861 |
∴ So the LCM of the given numbers is 3 x 289 x 861 = 746487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746487
Therefore, the GCF of Fractions 8771/867,5512/2583 is 1/746487
Least Common Multiple of 867,2583 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 867,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,2583) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,2583) x common factors =3 x 1 = 3
LCM(867,2583) = ( 867 × 2583 ) / 3
LCM(867,2583) = 2239461 / 3
LCM(867,2583) = 746487
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FAQs on GCF of Fractions of 8771/867, 5512/2583
1. What is the HCF of 8771,5512?
The HCF of 8771,5512 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 8771/867, 5512/2583?
Answer: GCF of Numerators as per given numbers 8771/867, 5512/2583 is
GCF of Numerators i.e. for 8771,5512 is 1
LCM of denominators i.e. for 867,2583 is 746487.
Thus, GCF of Fractions is 1/746487.Finally, GCF of Fractions for 8771/867, 5512/2583 is 1/746487.