GCF of 2206/872, 1109/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2206/872, 1109/105 i.e 1/91560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2206/872, 1109/105.
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 2206/872,1109/105?
Given fractions are 2206/872,1109/105
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 2206/872,1109/105, numerators are 2206,1109
Denominators are 872,105
The GCF of 2206,1109 is 1 .
LCM of 872,105 is 91560.
The greatest common factor of 2206/872,1109/105 = [GCF of 2206,1109]/[LCM of 872,105]= 1/91560
Therefore, the GCF of 2206/872,1109/105 is 1/91560.
To find the highest common factor of 2206,1109, we have to find the factors of both numbers and list the highest common factor.
The factors of 2206 are 1, 2, 1103, 2206
The factors of 1109 are 1, 1109
The HCF of 2206,1109 is 1.
Lets's calculate GCF of 2206,1109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2206,1109 By Matching Biggest Common Factor Method
Now, list down the factors of 2206
:1,2,1103,2206
Now, list down the factors of 1109
:1,1109
Greatest Common Factor
We found the factors 2206,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 2206,1109 is 1.
Lets's calculate LCM of 872,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 91560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91560
Therefore, the GCF of Fractions 2206/872,1109/105 is 1/91560
Least Common Multiple of 872,105 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 872,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,105) x common factors =1 x 1 = 1
LCM(872,105) = ( 872 × 105 ) / 1
LCM(872,105) = 91560 / 1
LCM(872,105) = 91560
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FAQs on GCF of Fractions of 2206/872, 1109/105
1. What is the HCF of 2206,1109?
The HCF of 2206,1109 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 2206/872, 1109/105?
Answer: GCF of Numerators as per given numbers 2206/872, 1109/105 is
GCF of Numerators i.e. for 2206,1109 is 1
LCM of denominators i.e. for 872,105 is 91560.
Thus, GCF of Fractions is 1/91560.Finally, GCF of Fractions for 2206/872, 1109/105 is 1/91560.