GCF of 2205/991, 9117/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2205/991, 9117/259 i.e 9/256669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2205/991, 9117/259.
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 2205/991,9117/259?
Given fractions are 2205/991,9117/259
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 2205/991,9117/259, numerators are 2205,9117
Denominators are 991,259
The GCF of 2205,9117 is 9 .
LCM of 991,259 is 256669.
The greatest common factor of 2205/991,9117/259 = [GCF of 2205,9117]/[LCM of 991,259]= 9/256669
Therefore, the GCF of 2205/991,9117/259 is 9/256669.
To find the highest common factor of 2205,9117, we have to find the factors of both numbers and list the highest common factor.
The factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205
The factors of 9117 are 1, 3, 9, 1013, 3039, 9117
The HCF of 2205,9117 is 9.
Lets's calculate GCF of 2205,9117
| 3 | 2205, 9117 |
| 3 | 735, 3039 |
| 245, 1013 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2205,9117 By Matching Biggest Common Factor Method
Now, list down the factors of 2205
:1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Now, list down the factors of 9117
:1,3,9,1013,3039,9117
Greatest Common Factor
We found the factors 2205,9117 . The biggest common factor number is the GCF number.
So the greatest common factor 2205,9117 is 9.
Lets's calculate LCM of 991,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 256669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/256669
Therefore, the GCF of Fractions 2205/991,9117/259 is 9/256669
Least Common Multiple of 991,259 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 991,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,259) x common factors =1 x 1 = 1
LCM(991,259) = ( 991 × 259 ) / 1
LCM(991,259) = 256669 / 1
LCM(991,259) = 256669
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FAQs on GCF of Fractions of 2205/991, 9117/259
1. What is the HCF of 2205,9117?
The HCF of 2205,9117 is 9
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 2205/991, 9117/259?
Answer: GCF of Numerators as per given numbers 2205/991, 9117/259 is
GCF of Numerators i.e. for 2205,9117 is 9
LCM of denominators i.e. for 991,259 is 256669.
Thus, GCF of Fractions is 9/256669.Finally, GCF of Fractions for 2205/991, 9117/259 is 9/256669.