GCF of 1254/643, 6289/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1254/643, 6289/198 i.e 19/127314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1254/643, 6289/198.
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 1254/643,6289/198?
Given fractions are 1254/643,6289/198
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 1254/643,6289/198, numerators are 1254,6289
Denominators are 643,198
The GCF of 1254,6289 is 19 .
LCM of 643,198 is 127314.
The greatest common factor of 1254/643,6289/198 = [GCF of 1254,6289]/[LCM of 643,198]= 19/127314
Therefore, the GCF of 1254/643,6289/198 is 19/127314.
To find the highest common factor of 1254,6289, 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 6289 are 1, 19, 331, 6289
The HCF of 1254,6289 is 19.
Lets's calculate GCF of 1254,6289
| 19 | 1254, 6289 |
| 66, 331 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 1254,6289 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 6289
:1,19,331,6289
Greatest Common Factor
We found the factors 1254,6289 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,6289 is 19.
Lets's calculate LCM of 643,198
Given numbers has no common factors except 1. So, there LCM is their product i.e 127314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/127314
Therefore, the GCF of Fractions 1254/643,6289/198 is 19/127314
Least Common Multiple of 643,198 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 643,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,198) x common factors =1 x 1 = 1
LCM(643,198) = ( 643 × 198 ) / 1
LCM(643,198) = 127314 / 1
LCM(643,198) = 127314
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FAQs on GCF of Fractions of 1254/643, 6289/198
1. What is the HCF of 1254,6289?
The HCF of 1254,6289 is 19
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 1254/643, 6289/198?
Answer: GCF of Numerators as per given numbers 1254/643, 6289/198 is
GCF of Numerators i.e. for 1254,6289 is 19
LCM of denominators i.e. for 643,198 is 127314.
Thus, GCF of Fractions is 19/127314.Finally, GCF of Fractions for 1254/643, 6289/198 is 19/127314.