GCF of 2605/551, 9900/9872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2605/551, 9900/9872 i.e 5/5439472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2605/551, 9900/9872.
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 2605/551,9900/9872?
Given fractions are 2605/551,9900/9872
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 2605/551,9900/9872, numerators are 2605,9900
Denominators are 551,9872
The GCF of 2605,9900 is 5 .
LCM of 551,9872 is 5439472.
The greatest common factor of 2605/551,9900/9872 = [GCF of 2605,9900]/[LCM of 551,9872]= 5/5439472
Therefore, the GCF of 2605/551,9900/9872 is 5/5439472.
To find the highest common factor of 2605,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 2605 are 1, 5, 521, 2605
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 2605,9900 is 5.
Lets's calculate GCF of 2605,9900
| 5 | 2605, 9900 |
| 521, 1980 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2605,9900 By Matching Biggest Common Factor Method
Now, list down the factors of 2605
:1,5,521,2605
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 2605,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 2605,9900 is 5.
Lets's calculate LCM of 551,9872
Given numbers has no common factors except 1. So, there LCM is their product i.e 5439472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5439472
Therefore, the GCF of Fractions 2605/551,9900/9872 is 5/5439472
Least Common Multiple of 551,9872 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 551,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,9872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,9872) x common factors =1 x 1 = 1
LCM(551,9872) = ( 551 × 9872 ) / 1
LCM(551,9872) = 5439472 / 1
LCM(551,9872) = 5439472
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FAQs on GCF of Fractions of 2605/551, 9900/9872
1. What is the HCF of 2605,9900?
The HCF of 2605,9900 is 5
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 2605/551, 9900/9872?
Answer: GCF of Numerators as per given numbers 2605/551, 9900/9872 is
GCF of Numerators i.e. for 2605,9900 is 5
LCM of denominators i.e. for 551,9872 is 5439472.
Thus, GCF of Fractions is 5/5439472.Finally, GCF of Fractions for 2605/551, 9900/9872 is 5/5439472.