GCF of 9741/918, 8542/2562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9741/918, 8542/2562 i.e 1/391986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9741/918, 8542/2562.
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 9741/918,8542/2562?
Given fractions are 9741/918,8542/2562
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 9741/918,8542/2562, numerators are 9741,8542
Denominators are 918,2562
The GCF of 9741,8542 is 1 .
LCM of 918,2562 is 391986.
The greatest common factor of 9741/918,8542/2562 = [GCF of 9741,8542]/[LCM of 918,2562]= 1/391986
Therefore, the GCF of 9741/918,8542/2562 is 1/391986.
To find the highest common factor of 9741,8542, we have to find the factors of both numbers and list the highest common factor.
The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741
The factors of 8542 are 1, 2, 4271, 8542
The HCF of 9741,8542 is 1.
Lets's calculate GCF of 9741,8542
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9741,8542 By Matching Biggest Common Factor Method
Now, list down the factors of 9741
:1,3,17,51,191,573,3247,9741
Now, list down the factors of 8542
:1,2,4271,8542
Greatest Common Factor
We found the factors 9741,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 9741,8542 is 1.
Lets's calculate LCM of 918,2562
| 2 | 918, 2562 |
| 3 | 459, 1281 |
| 153, 427 |
∴ So the LCM of the given numbers is 2 x 3 x 153 x 427 = 391986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/391986
Therefore, the GCF of Fractions 9741/918,8542/2562 is 1/391986
Least Common Multiple of 918,2562 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 918,2562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,2562) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(918,2562) x common factors =6 x 1 = 6
LCM(918,2562) = ( 918 × 2562 ) / 6
LCM(918,2562) = 2351916 / 6
LCM(918,2562) = 391986
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FAQs on GCF of Fractions of 9741/918, 8542/2562
1. What is the HCF of 9741,8542?
The HCF of 9741,8542 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 9741/918, 8542/2562?
Answer: GCF of Numerators as per given numbers 9741/918, 8542/2562 is
GCF of Numerators i.e. for 9741,8542 is 1
LCM of denominators i.e. for 918,2562 is 391986.
Thus, GCF of Fractions is 1/391986.Finally, GCF of Fractions for 9741/918, 8542/2562 is 1/391986.