GCF of 5092/485, 3049/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5092/485, 3049/455 i.e 1/44135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5092/485, 3049/455.
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 5092/485,3049/455?
Given fractions are 5092/485,3049/455
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 5092/485,3049/455, numerators are 5092,3049
Denominators are 485,455
The GCF of 5092,3049 is 1 .
LCM of 485,455 is 44135.
The greatest common factor of 5092/485,3049/455 = [GCF of 5092,3049]/[LCM of 485,455]= 1/44135
Therefore, the GCF of 5092/485,3049/455 is 1/44135.
To find the highest common factor of 5092,3049, we have to find the factors of both numbers and list the highest common factor.
The factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092
The factors of 3049 are 1, 3049
The HCF of 5092,3049 is 1.
Lets's calculate GCF of 5092,3049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5092,3049 By Matching Biggest Common Factor Method
Now, list down the factors of 5092
:1,2,4,19,38,67,76,134,268,1273,2546,5092
Now, list down the factors of 3049
:1,3049
Greatest Common Factor
We found the factors 5092,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 5092,3049 is 1.
Lets's calculate LCM of 485,455
| 5 | 485, 455 |
| 97, 91 |
∴ So the LCM of the given numbers is 5 x 97 x 91 = 44135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44135
Therefore, the GCF of Fractions 5092/485,3049/455 is 1/44135
Least Common Multiple of 485,455 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 485,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,455) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,455) x common factors =5 x 1 = 5
LCM(485,455) = ( 485 × 455 ) / 5
LCM(485,455) = 220675 / 5
LCM(485,455) = 44135
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FAQs on GCF of Fractions of 5092/485, 3049/455
1. What is the HCF of 5092,3049?
The HCF of 5092,3049 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 5092/485, 3049/455?
Answer: GCF of Numerators as per given numbers 5092/485, 3049/455 is
GCF of Numerators i.e. for 5092,3049 is 1
LCM of denominators i.e. for 485,455 is 44135.
Thus, GCF of Fractions is 1/44135.Finally, GCF of Fractions for 5092/485, 3049/455 is 1/44135.