GCF of 6653/774, 1254/663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6653/774, 1254/663 i.e 1/171054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6653/774, 1254/663.
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 6653/774,1254/663?
Given fractions are 6653/774,1254/663
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 6653/774,1254/663, numerators are 6653,1254
Denominators are 774,663
The GCF of 6653,1254 is 1 .
LCM of 774,663 is 171054.
The greatest common factor of 6653/774,1254/663 = [GCF of 6653,1254]/[LCM of 774,663]= 1/171054
Therefore, the GCF of 6653/774,1254/663 is 1/171054.
To find the highest common factor of 6653,1254, we have to find the factors of both numbers and list the highest common factor.
The factors of 6653 are 1, 6653
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The HCF of 6653,1254 is 1.
Lets's calculate GCF of 6653,1254
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6653,1254 By Matching Biggest Common Factor Method
Now, list down the factors of 6653
:1,6653
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 6653,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 6653,1254 is 1.
Lets's calculate LCM of 774,663
| 3 | 774, 663 |
| 258, 221 |
∴ So the LCM of the given numbers is 3 x 258 x 221 = 171054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171054
Therefore, the GCF of Fractions 6653/774,1254/663 is 1/171054
Least Common Multiple of 774,663 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 774,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,663) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(774,663) x common factors =3 x 1 = 3
LCM(774,663) = ( 774 × 663 ) / 3
LCM(774,663) = 513162 / 3
LCM(774,663) = 171054
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FAQs on GCF of Fractions of 6653/774, 1254/663
1. What is the HCF of 6653,1254?
The HCF of 6653,1254 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 6653/774, 1254/663?
Answer: GCF of Numerators as per given numbers 6653/774, 1254/663 is
GCF of Numerators i.e. for 6653,1254 is 1
LCM of denominators i.e. for 774,663 is 171054.
Thus, GCF of Fractions is 1/171054.Finally, GCF of Fractions for 6653/774, 1254/663 is 1/171054.