GCF of 8231/987, 5580/8622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8231/987, 5580/8622 i.e 1/2836638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8231/987, 5580/8622.
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 8231/987,5580/8622?
Given fractions are 8231/987,5580/8622
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 8231/987,5580/8622, numerators are 8231,5580
Denominators are 987,8622
The GCF of 8231,5580 is 1 .
LCM of 987,8622 is 2836638.
The greatest common factor of 8231/987,5580/8622 = [GCF of 8231,5580]/[LCM of 987,8622]= 1/2836638
Therefore, the GCF of 8231/987,5580/8622 is 1/2836638.
To find the highest common factor of 8231,5580, we have to find the factors of both numbers and list the highest common factor.
The factors of 8231 are 1, 8231
The factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580
The HCF of 8231,5580 is 1.
Lets's calculate GCF of 8231,5580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8231,5580 By Matching Biggest Common Factor Method
Now, list down the factors of 8231
:1,8231
Now, list down the factors of 5580
:1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Greatest Common Factor
We found the factors 8231,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 8231,5580 is 1.
Lets's calculate LCM of 987,8622
| 3 | 987, 8622 |
| 329, 2874 |
∴ So the LCM of the given numbers is 3 x 329 x 2874 = 2836638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2836638
Therefore, the GCF of Fractions 8231/987,5580/8622 is 1/2836638
Least Common Multiple of 987,8622 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 987,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,8622) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,8622) x common factors =3 x 1 = 3
LCM(987,8622) = ( 987 × 8622 ) / 3
LCM(987,8622) = 8509914 / 3
LCM(987,8622) = 2836638
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FAQs on GCF of Fractions of 8231/987, 5580/8622
1. What is the HCF of 8231,5580?
The HCF of 8231,5580 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 8231/987, 5580/8622?
Answer: GCF of Numerators as per given numbers 8231/987, 5580/8622 is
GCF of Numerators i.e. for 8231,5580 is 1
LCM of denominators i.e. for 987,8622 is 2836638.
Thus, GCF of Fractions is 1/2836638.Finally, GCF of Fractions for 8231/987, 5580/8622 is 1/2836638.