GCF of 2242/419, 9027/3103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2242/419, 9027/3103 i.e 59/1300157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2242/419, 9027/3103.
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 2242/419,9027/3103?
Given fractions are 2242/419,9027/3103
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 2242/419,9027/3103, numerators are 2242,9027
Denominators are 419,3103
The GCF of 2242,9027 is 59 .
LCM of 419,3103 is 1300157.
The greatest common factor of 2242/419,9027/3103 = [GCF of 2242,9027]/[LCM of 419,3103]= 59/1300157
Therefore, the GCF of 2242/419,9027/3103 is 59/1300157.
To find the highest common factor of 2242,9027, we have to find the factors of both numbers and list the highest common factor.
The factors of 2242 are 1, 2, 19, 38, 59, 118, 1121, 2242
The factors of 9027 are 1, 3, 9, 17, 51, 59, 153, 177, 531, 1003, 3009, 9027
The HCF of 2242,9027 is 59.
Lets's calculate GCF of 2242,9027
| 59 | 2242, 9027 |
| 38, 153 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 2242,9027 By Matching Biggest Common Factor Method
Now, list down the factors of 2242
:1,2,19,38,59,118,1121,2242
Now, list down the factors of 9027
:1,3,9,17,51,59,153,177,531,1003,3009,9027
Greatest Common Factor
We found the factors 2242,9027 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,9027 is 59.
Lets's calculate LCM of 419,3103
Given numbers has no common factors except 1. So, there LCM is their product i.e 1300157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/1300157
Therefore, the GCF of Fractions 2242/419,9027/3103 is 59/1300157
Least Common Multiple of 419,3103 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 419,3103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,3103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,3103) x common factors =1 x 1 = 1
LCM(419,3103) = ( 419 × 3103 ) / 1
LCM(419,3103) = 1300157 / 1
LCM(419,3103) = 1300157
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FAQs on GCF of Fractions of 2242/419, 9027/3103
1. What is the HCF of 2242,9027?
The HCF of 2242,9027 is 59
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 2242/419, 9027/3103?
Answer: GCF of Numerators as per given numbers 2242/419, 9027/3103 is
GCF of Numerators i.e. for 2242,9027 is 59
LCM of denominators i.e. for 419,3103 is 1300157.
Thus, GCF of Fractions is 59/1300157.Finally, GCF of Fractions for 2242/419, 9027/3103 is 59/1300157.