GCF of 1254/242, 9741/6209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1254/242, 9741/6209 i.e 3/1502578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1254/242, 9741/6209.
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 1254/242,9741/6209?
Given fractions are 1254/242,9741/6209
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 1254/242,9741/6209, numerators are 1254,9741
Denominators are 242,6209
The GCF of 1254,9741 is 3 .
LCM of 242,6209 is 1502578.
The greatest common factor of 1254/242,9741/6209 = [GCF of 1254,9741]/[LCM of 242,6209]= 3/1502578
Therefore, the GCF of 1254/242,9741/6209 is 3/1502578.
To find the highest common factor of 1254,9741, we have to find the factors of both numbers and list the highest common factor.
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741
The HCF of 1254,9741 is 3.
Lets's calculate GCF of 1254,9741
| 3 | 1254, 9741 |
| 418, 3247 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1254,9741 By Matching Biggest Common Factor Method
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Now, list down the factors of 9741
:1,3,17,51,191,573,3247,9741
Greatest Common Factor
We found the factors 1254,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,9741 is 3.
Lets's calculate LCM of 242,6209
Given numbers has no common factors except 1. So, there LCM is their product i.e 1502578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1502578
Therefore, the GCF of Fractions 1254/242,9741/6209 is 3/1502578
Least Common Multiple of 242,6209 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 242,6209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,6209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,6209) x common factors =1 x 1 = 1
LCM(242,6209) = ( 242 × 6209 ) / 1
LCM(242,6209) = 1502578 / 1
LCM(242,6209) = 1502578
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FAQs on GCF of Fractions of 1254/242, 9741/6209
1. What is the HCF of 1254,9741?
The HCF of 1254,9741 is 3
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 1254/242, 9741/6209?
Answer: GCF of Numerators as per given numbers 1254/242, 9741/6209 is
GCF of Numerators i.e. for 1254,9741 is 3
LCM of denominators i.e. for 242,6209 is 1502578.
Thus, GCF of Fractions is 3/1502578.Finally, GCF of Fractions for 1254/242, 9741/6209 is 3/1502578.