GCF of 1241/654, 5345/1853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1241/654, 5345/1853 i.e 1/11118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1241/654, 5345/1853.
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 1241/654,5345/1853?
Given fractions are 1241/654,5345/1853
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 1241/654,5345/1853, numerators are 1241,5345
Denominators are 654,1853
The GCF of 1241,5345 is 1 .
LCM of 654,1853 is 11118.
The greatest common factor of 1241/654,5345/1853 = [GCF of 1241,5345]/[LCM of 654,1853]= 1/11118
Therefore, the GCF of 1241/654,5345/1853 is 1/11118.
To find the highest common factor of 1241,5345, we have to find the factors of both numbers and list the highest common factor.
The factors of 1241 are 1, 17, 73, 1241
The factors of 5345 are 1, 5, 1069, 5345
The HCF of 1241,5345 is 1.
Lets's calculate GCF of 1241,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1241,5345 By Matching Biggest Common Factor Method
Now, list down the factors of 1241
:1,17,73,1241
Now, list down the factors of 5345
:1,5,1069,5345
Greatest Common Factor
We found the factors 1241,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 1241,5345 is 1.
Lets's calculate LCM of 654,1853
| 109 | 654, 1853 |
| 6, 17 |
∴ So the LCM of the given numbers is 109 x 6 x 17 = 11118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11118
Therefore, the GCF of Fractions 1241/654,5345/1853 is 1/11118
Least Common Multiple of 654,1853 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 654,1853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,1853) = 109
common factors(in case of two or more numbers have common factors) = 1
GCF(654,1853) x common factors =109 x 1 = 109
LCM(654,1853) = ( 654 × 1853 ) / 109
LCM(654,1853) = 1211862 / 109
LCM(654,1853) = 11118
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FAQs on GCF of Fractions of 1241/654, 5345/1853
1. What is the HCF of 1241,5345?
The HCF of 1241,5345 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 1241/654, 5345/1853?
Answer: GCF of Numerators as per given numbers 1241/654, 5345/1853 is
GCF of Numerators i.e. for 1241,5345 is 1
LCM of denominators i.e. for 654,1853 is 11118.
Thus, GCF of Fractions is 1/11118.Finally, GCF of Fractions for 1241/654, 5345/1853 is 1/11118.