GCF of 7018/882, 9549/4629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7018/882, 9549/4629 i.e 1/1360926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7018/882, 9549/4629.
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 7018/882,9549/4629?
Given fractions are 7018/882,9549/4629
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 7018/882,9549/4629, numerators are 7018,9549
Denominators are 882,4629
The GCF of 7018,9549 is 1 .
LCM of 882,4629 is 1360926.
The greatest common factor of 7018/882,9549/4629 = [GCF of 7018,9549]/[LCM of 882,4629]= 1/1360926
Therefore, the GCF of 7018/882,9549/4629 is 1/1360926.
To find the highest common factor of 7018,9549, we have to find the factors of both numbers and list the highest common factor.
The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018
The factors of 9549 are 1, 3, 9, 1061, 3183, 9549
The HCF of 7018,9549 is 1.
Lets's calculate GCF of 7018,9549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7018,9549 By Matching Biggest Common Factor Method
Now, list down the factors of 7018
:1,2,11,22,29,58,121,242,319,638,3509,7018
Now, list down the factors of 9549
:1,3,9,1061,3183,9549
Greatest Common Factor
We found the factors 7018,9549 . The biggest common factor number is the GCF number.
So the greatest common factor 7018,9549 is 1.
Lets's calculate LCM of 882,4629
| 3 | 882, 4629 |
| 294, 1543 |
∴ So the LCM of the given numbers is 3 x 294 x 1543 = 1360926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360926
Therefore, the GCF of Fractions 7018/882,9549/4629 is 1/1360926
Least Common Multiple of 882,4629 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 882,4629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,4629) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(882,4629) x common factors =3 x 1 = 3
LCM(882,4629) = ( 882 × 4629 ) / 3
LCM(882,4629) = 4082778 / 3
LCM(882,4629) = 1360926
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FAQs on GCF of Fractions of 7018/882, 9549/4629
1. What is the HCF of 7018,9549?
The HCF of 7018,9549 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 7018/882, 9549/4629?
Answer: GCF of Numerators as per given numbers 7018/882, 9549/4629 is
GCF of Numerators i.e. for 7018,9549 is 1
LCM of denominators i.e. for 882,4629 is 1360926.
Thus, GCF of Fractions is 1/1360926.Finally, GCF of Fractions for 7018/882, 9549/4629 is 1/1360926.