GCF of 7727/144, 2030/5838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7727/144, 2030/5838 i.e 1/140112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7727/144, 2030/5838.
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 7727/144,2030/5838?
Given fractions are 7727/144,2030/5838
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 7727/144,2030/5838, numerators are 7727,2030
Denominators are 144,5838
The GCF of 7727,2030 is 1 .
LCM of 144,5838 is 140112.
The greatest common factor of 7727/144,2030/5838 = [GCF of 7727,2030]/[LCM of 144,5838]= 1/140112
Therefore, the GCF of 7727/144,2030/5838 is 1/140112.
To find the highest common factor of 7727,2030, we have to find the factors of both numbers and list the highest common factor.
The factors of 7727 are 1, 7727
The factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030
The HCF of 7727,2030 is 1.
Lets's calculate GCF of 7727,2030
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7727,2030 By Matching Biggest Common Factor Method
Now, list down the factors of 7727
:1,7727
Now, list down the factors of 2030
:1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030
Greatest Common Factor
We found the factors 7727,2030 . The biggest common factor number is the GCF number.
So the greatest common factor 7727,2030 is 1.
Lets's calculate LCM of 144,5838
| 2 | 144, 5838 |
| 3 | 72, 2919 |
| 24, 973 |
∴ So the LCM of the given numbers is 2 x 3 x 24 x 973 = 140112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140112
Therefore, the GCF of Fractions 7727/144,2030/5838 is 1/140112
Least Common Multiple of 144,5838 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 144,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,5838) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(144,5838) x common factors =6 x 1 = 6
LCM(144,5838) = ( 144 × 5838 ) / 6
LCM(144,5838) = 840672 / 6
LCM(144,5838) = 140112
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FAQs on GCF of Fractions of 7727/144, 2030/5838
1. What is the HCF of 7727,2030?
The HCF of 7727,2030 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 7727/144, 2030/5838?
Answer: GCF of Numerators as per given numbers 7727/144, 2030/5838 is
GCF of Numerators i.e. for 7727,2030 is 1
LCM of denominators i.e. for 144,5838 is 140112.
Thus, GCF of Fractions is 1/140112.Finally, GCF of Fractions for 7727/144, 2030/5838 is 1/140112.