GCF of 1802/221, 5641/8909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1802/221, 5641/8909 i.e 1/1968889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1802/221, 5641/8909.
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 1802/221,5641/8909?
Given fractions are 1802/221,5641/8909
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 1802/221,5641/8909, numerators are 1802,5641
Denominators are 221,8909
The GCF of 1802,5641 is 1 .
LCM of 221,8909 is 1968889.
The greatest common factor of 1802/221,5641/8909 = [GCF of 1802,5641]/[LCM of 221,8909]= 1/1968889
Therefore, the GCF of 1802/221,5641/8909 is 1/1968889.
To find the highest common factor of 1802,5641, we have to find the factors of both numbers and list the highest common factor.
The factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802
The factors of 5641 are 1, 5641
The HCF of 1802,5641 is 1.
Lets's calculate GCF of 1802,5641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1802,5641 By Matching Biggest Common Factor Method
Now, list down the factors of 1802
:1,2,17,34,53,106,901,1802
Now, list down the factors of 5641
:1,5641
Greatest Common Factor
We found the factors 1802,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 1802,5641 is 1.
Lets's calculate LCM of 221,8909
Given numbers has no common factors except 1. So, there LCM is their product i.e 1968889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968889
Therefore, the GCF of Fractions 1802/221,5641/8909 is 1/1968889
Least Common Multiple of 221,8909 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 221,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,8909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,8909) x common factors =1 x 1 = 1
LCM(221,8909) = ( 221 × 8909 ) / 1
LCM(221,8909) = 1968889 / 1
LCM(221,8909) = 1968889
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FAQs on GCF of Fractions of 1802/221, 5641/8909
1. What is the HCF of 1802,5641?
The HCF of 1802,5641 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 1802/221, 5641/8909?
Answer: GCF of Numerators as per given numbers 1802/221, 5641/8909 is
GCF of Numerators i.e. for 1802,5641 is 1
LCM of denominators i.e. for 221,8909 is 1968889.
Thus, GCF of Fractions is 1/1968889.Finally, GCF of Fractions for 1802/221, 5641/8909 is 1/1968889.