GCF of 1481/618, 2737/8514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1481/618, 2737/8514 i.e 1/876942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1481/618, 2737/8514.
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 1481/618,2737/8514?
Given fractions are 1481/618,2737/8514
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 1481/618,2737/8514, numerators are 1481,2737
Denominators are 618,8514
The GCF of 1481,2737 is 1 .
LCM of 618,8514 is 876942.
The greatest common factor of 1481/618,2737/8514 = [GCF of 1481,2737]/[LCM of 618,8514]= 1/876942
Therefore, the GCF of 1481/618,2737/8514 is 1/876942.
To find the highest common factor of 1481,2737, we have to find the factors of both numbers and list the highest common factor.
The factors of 1481 are 1, 1481
The factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737
The HCF of 1481,2737 is 1.
Lets's calculate GCF of 1481,2737
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1481,2737 By Matching Biggest Common Factor Method
Now, list down the factors of 1481
:1,1481
Now, list down the factors of 2737
:1,7,17,23,119,161,391,2737
Greatest Common Factor
We found the factors 1481,2737 . The biggest common factor number is the GCF number.
So the greatest common factor 1481,2737 is 1.
Lets's calculate LCM of 618,8514
| 2 | 618, 8514 |
| 3 | 309, 4257 |
| 103, 1419 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 1419 = 876942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/876942
Therefore, the GCF of Fractions 1481/618,2737/8514 is 1/876942
Least Common Multiple of 618,8514 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 618,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,8514) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(618,8514) x common factors =6 x 1 = 6
LCM(618,8514) = ( 618 × 8514 ) / 6
LCM(618,8514) = 5261652 / 6
LCM(618,8514) = 876942
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FAQs on GCF of Fractions of 1481/618, 2737/8514
1. What is the HCF of 1481,2737?
The HCF of 1481,2737 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 1481/618, 2737/8514?
Answer: GCF of Numerators as per given numbers 1481/618, 2737/8514 is
GCF of Numerators i.e. for 1481,2737 is 1
LCM of denominators i.e. for 618,8514 is 876942.
Thus, GCF of Fractions is 1/876942.Finally, GCF of Fractions for 1481/618, 2737/8514 is 1/876942.