GCF of 9908/821, 1100/2259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9908/821, 1100/2259 i.e 4/1854639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9908/821, 1100/2259.
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 9908/821,1100/2259?
Given fractions are 9908/821,1100/2259
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 9908/821,1100/2259, numerators are 9908,1100
Denominators are 821,2259
The GCF of 9908,1100 is 4 .
LCM of 821,2259 is 1854639.
The greatest common factor of 9908/821,1100/2259 = [GCF of 9908,1100]/[LCM of 821,2259]= 4/1854639
Therefore, the GCF of 9908/821,1100/2259 is 4/1854639.
To find the highest common factor of 9908,1100, we have to find the factors of both numbers and list the highest common factor.
The factors of 9908 are 1, 2, 4, 2477, 4954, 9908
The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100
The HCF of 9908,1100 is 4.
Lets's calculate GCF of 9908,1100
| 2 | 9908, 1100 |
| 2 | 4954, 550 |
| 2477, 275 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9908,1100 By Matching Biggest Common Factor Method
Now, list down the factors of 9908
:1,2,4,2477,4954,9908
Now, list down the factors of 1100
:1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors 9908,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 9908,1100 is 4.
Lets's calculate LCM of 821,2259
Given numbers has no common factors except 1. So, there LCM is their product i.e 1854639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1854639
Therefore, the GCF of Fractions 9908/821,1100/2259 is 4/1854639
Least Common Multiple of 821,2259 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 821,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2259) x common factors =1 x 1 = 1
LCM(821,2259) = ( 821 × 2259 ) / 1
LCM(821,2259) = 1854639 / 1
LCM(821,2259) = 1854639
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FAQs on GCF of Fractions of 9908/821, 1100/2259
1. What is the HCF of 9908,1100?
The HCF of 9908,1100 is 4
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 9908/821, 1100/2259?
Answer: GCF of Numerators as per given numbers 9908/821, 1100/2259 is
GCF of Numerators i.e. for 9908,1100 is 4
LCM of denominators i.e. for 821,2259 is 1854639.
Thus, GCF of Fractions is 4/1854639.Finally, GCF of Fractions for 9908/821, 1100/2259 is 4/1854639.