GCF of 7119/248, 9490/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7119/248, 9490/497 i.e 1/123256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7119/248, 9490/497.
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 7119/248,9490/497?
Given fractions are 7119/248,9490/497
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 7119/248,9490/497, numerators are 7119,9490
Denominators are 248,497
The GCF of 7119,9490 is 1 .
LCM of 248,497 is 123256.
The greatest common factor of 7119/248,9490/497 = [GCF of 7119,9490]/[LCM of 248,497]= 1/123256
Therefore, the GCF of 7119/248,9490/497 is 1/123256.
To find the highest common factor of 7119,9490, we have to find the factors of both numbers and list the highest common factor.
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
The HCF of 7119,9490 is 1.
Lets's calculate GCF of 7119,9490
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7119,9490 By Matching Biggest Common Factor Method
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
Greatest Common Factor
We found the factors 7119,9490 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,9490 is 1.
Lets's calculate LCM of 248,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 123256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123256
Therefore, the GCF of Fractions 7119/248,9490/497 is 1/123256
Least Common Multiple of 248,497 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 248,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,497) x common factors =1 x 1 = 1
LCM(248,497) = ( 248 × 497 ) / 1
LCM(248,497) = 123256 / 1
LCM(248,497) = 123256
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FAQs on GCF of Fractions of 7119/248, 9490/497
1. What is the HCF of 7119,9490?
The HCF of 7119,9490 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 7119/248, 9490/497?
Answer: GCF of Numerators as per given numbers 7119/248, 9490/497 is
GCF of Numerators i.e. for 7119,9490 is 1
LCM of denominators i.e. for 248,497 is 123256.
Thus, GCF of Fractions is 1/123256.Finally, GCF of Fractions for 7119/248, 9490/497 is 1/123256.