GCF of 1273/393, 7014/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1273/393, 7014/294 i.e 1/38514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1273/393, 7014/294.
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 1273/393,7014/294?
Given fractions are 1273/393,7014/294
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 1273/393,7014/294, numerators are 1273,7014
Denominators are 393,294
The GCF of 1273,7014 is 1 .
LCM of 393,294 is 38514.
The greatest common factor of 1273/393,7014/294 = [GCF of 1273,7014]/[LCM of 393,294]= 1/38514
Therefore, the GCF of 1273/393,7014/294 is 1/38514.
To find the highest common factor of 1273,7014, we have to find the factors of both numbers and list the highest common factor.
The factors of 1273 are 1, 19, 67, 1273
The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014
The HCF of 1273,7014 is 1.
Lets's calculate GCF of 1273,7014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1273,7014 By Matching Biggest Common Factor Method
Now, list down the factors of 1273
:1,19,67,1273
Now, list down the factors of 7014
:1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014
Greatest Common Factor
We found the factors 1273,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 1273,7014 is 1.
Lets's calculate LCM of 393,294
| 3 | 393, 294 |
| 131, 98 |
∴ So the LCM of the given numbers is 3 x 131 x 98 = 38514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38514
Therefore, the GCF of Fractions 1273/393,7014/294 is 1/38514
Least Common Multiple of 393,294 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 393,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,294) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,294) x common factors =3 x 1 = 3
LCM(393,294) = ( 393 × 294 ) / 3
LCM(393,294) = 115542 / 3
LCM(393,294) = 38514
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FAQs on GCF of Fractions of 1273/393, 7014/294
1. What is the HCF of 1273,7014?
The HCF of 1273,7014 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 1273/393, 7014/294?
Answer: GCF of Numerators as per given numbers 1273/393, 7014/294 is
GCF of Numerators i.e. for 1273,7014 is 1
LCM of denominators i.e. for 393,294 is 38514.
Thus, GCF of Fractions is 1/38514.Finally, GCF of Fractions for 1273/393, 7014/294 is 1/38514.