GCF of 1144/484, 8019/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1144/484, 8019/355 i.e 11/171820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1144/484, 8019/355.
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 1144/484,8019/355?
Given fractions are 1144/484,8019/355
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 1144/484,8019/355, numerators are 1144,8019
Denominators are 484,355
The GCF of 1144,8019 is 11 .
LCM of 484,355 is 171820.
The greatest common factor of 1144/484,8019/355 = [GCF of 1144,8019]/[LCM of 484,355]= 11/171820
Therefore, the GCF of 1144/484,8019/355 is 11/171820.
To find the highest common factor of 1144,8019, we have to find the factors of both numbers and list the highest common factor.
The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The HCF of 1144,8019 is 11.
Lets's calculate GCF of 1144,8019
| 11 | 1144, 8019 |
| 104, 729 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1144,8019 By Matching Biggest Common Factor Method
Now, list down the factors of 1144
:1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Greatest Common Factor
We found the factors 1144,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,8019 is 11.
Lets's calculate LCM of 484,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 171820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/171820
Therefore, the GCF of Fractions 1144/484,8019/355 is 11/171820
Least Common Multiple of 484,355 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 484,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,355) x common factors =1 x 1 = 1
LCM(484,355) = ( 484 × 355 ) / 1
LCM(484,355) = 171820 / 1
LCM(484,355) = 171820
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FAQs on GCF of Fractions of 1144/484, 8019/355
1. What is the HCF of 1144,8019?
The HCF of 1144,8019 is 11
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 1144/484, 8019/355?
Answer: GCF of Numerators as per given numbers 1144/484, 8019/355 is
GCF of Numerators i.e. for 1144,8019 is 11
LCM of denominators i.e. for 484,355 is 171820.
Thus, GCF of Fractions is 11/171820.Finally, GCF of Fractions for 1144/484, 8019/355 is 11/171820.